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Finding the Third Proportional to 522,136.13 and 807,792.75

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Solution

The third proportional to 522,136.13 and 807,792.75 is: 1,249,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,136.13 : 807,792.75 = 807,792.75 : x
  2. Step 2: Convert to fraction form
    522,136.13/807,792.75 = 807,792.75/x
  3. Step 3: Cross multiply
    522,136.13x = 807,792.75 × 807,792.75
  4. Step 4: Simplify right side
    522,136.13x = 652,529,126,952.56
  5. Step 5: Solve for x
    x = 652,529,126,952.56/522,136.13
  6. Step 6: Final answer
    x = 1,249,729.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.