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Finding the Third Proportional to 334,551,356 and 724,694,794

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Solution

The third proportional to 334,551,356 and 724,694,794 is: 1,569,811,435.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551,356 : 724,694,794 = 724,694,794 : x
  2. Step 2: Convert to fraction form
    334,551,356/724,694,794 = 724,694,794/x
  3. Step 3: Cross multiply
    334,551,356x = 724,694,794 × 724,694,794
  4. Step 4: Simplify right side
    334,551,356x = 525,182,544,450,702,464
  5. Step 5: Solve for x
    x = 525,182,544,450,702,464/334,551,356
  6. Step 6: Final answer
    x = 1,569,811,435.62

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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.