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Finding the Third Proportional to 522,487.13 and 735,772.22

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Solution

The third proportional to 522,487.13 and 735,772.22 is: 1,036,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,487.13 : 735,772.22 = 735,772.22 : x
  2. Step 2: Convert to fraction form
    522,487.13/735,772.22 = 735,772.22/x
  3. Step 3: Cross multiply
    522,487.13x = 735,772.22 × 735,772.22
  4. Step 4: Simplify right side
    522,487.13x = 541,360,757,884.30
  5. Step 5: Solve for x
    x = 541,360,757,884.30/522,487.13
  6. Step 6: Final answer
    x = 1,036,122.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.