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Finding the Third Proportional to 334,551,341.81 and 724,694,765.63

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Solution

The third proportional to 334,551,341.81 and 724,694,765.63 is: 1,569,811,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551,341.81 : 724,694,765.63 = 724,694,765.63 : x
  2. Step 2: Convert to fraction form
    334,551,341.81/724,694,765.63 = 724,694,765.63/x
  3. Step 3: Cross multiply
    334,551,341.81x = 724,694,765.63 × 724,694,765.63
  4. Step 4: Simplify right side
    334,551,341.81x = 525,182,503,324,273,664
  5. Step 5: Solve for x
    x = 525,182,503,324,273,664/334,551,341.81
  6. Step 6: Final answer
    x = 1,569,811,379.26

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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.