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Finding the Third Proportional to 536,635.13 and 726,220.69

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Solution

The third proportional to 536,635.13 and 726,220.69 is: 982,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,635.13 : 726,220.69 = 726,220.69 : x
  2. Step 2: Convert to fraction form
    536,635.13/726,220.69 = 726,220.69/x
  3. Step 3: Cross multiply
    536,635.13x = 726,220.69 × 726,220.69
  4. Step 4: Simplify right side
    536,635.13x = 527,396,486,952.97
  5. Step 5: Solve for x
    x = 527,396,486,952.97/536,635.13
  6. Step 6: Final answer
    x = 982,784.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.