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Finding the Third Proportional to 334,551,345 and 724,694,772

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Solution

The third proportional to 334,551,345 and 724,694,772 is: 1,569,811,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551,345 : 724,694,772 = 724,694,772 : x
  2. Step 2: Convert to fraction form
    334,551,345/724,694,772 = 724,694,772/x
  3. Step 3: Cross multiply
    334,551,345x = 724,694,772 × 724,694,772
  4. Step 4: Simplify right side
    334,551,345x = 525,182,512,564,131,968
  5. Step 5: Solve for x
    x = 525,182,512,564,131,968/334,551,345
  6. Step 6: Final answer
    x = 1,569,811,391.92

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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.