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Finding the Third Proportional to 334,551,350.25 and 724,694,782.50

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Solution

The third proportional to 334,551,350.25 and 724,694,782.50 is: 1,569,811,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,551,350.25 : 724,694,782.50 = 724,694,782.50 : x
  2. Step 2: Convert to fraction form
    334,551,350.25/724,694,782.50 = 724,694,782.50/x
  3. Step 3: Cross multiply
    334,551,350.25x = 724,694,782.50 × 724,694,782.50
  4. Step 4: Simplify right side
    334,551,350.25x = 525,182,527,782,722,304
  5. Step 5: Solve for x
    x = 525,182,527,782,722,304/334,551,350.25
  6. Step 6: Final answer
    x = 1,569,811,412.78

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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.