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Finding the Third Proportional to 360,537.75 and 522,217.13

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Solution

The third proportional to 360,537.75 and 522,217.13 is: 756,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,537.75 : 522,217.13 = 522,217.13 : x
  2. Step 2: Convert to fraction form
    360,537.75/522,217.13 = 522,217.13/x
  3. Step 3: Cross multiply
    360,537.75x = 522,217.13 × 522,217.13
  4. Step 4: Simplify right side
    360,537.75x = 272,710,725,643.27
  5. Step 5: Solve for x
    x = 272,710,725,643.27/360,537.75
  6. Step 6: Final answer
    x = 756,399.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.