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Finding the Third Proportional to 334,551,341.25 and 724,694,763.38

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Solution

The third proportional to 334,551,341.25 and 724,694,763.38 is: 1,569,811,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551,341.25 : 724,694,763.38 = 724,694,763.38 : x
  2. Step 2: Convert to fraction form
    334,551,341.25/724,694,763.38 = 724,694,763.38/x
  3. Step 3: Cross multiply
    334,551,341.25x = 724,694,763.38 × 724,694,763.38
  4. Step 4: Simplify right side
    334,551,341.25x = 525,182,500,063,147,264
  5. Step 5: Solve for x
    x = 525,182,500,063,147,264/334,551,341.25
  6. Step 6: Final answer
    x = 1,569,811,372.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.