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Finding the Third Proportional to 361,202.25 and 531,329.38

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Solution

The third proportional to 361,202.25 and 531,329.38 is: 781,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,202.25 : 531,329.38 = 531,329.38 : x
  2. Step 2: Convert to fraction form
    361,202.25/531,329.38 = 531,329.38/x
  3. Step 3: Cross multiply
    361,202.25x = 531,329.38 × 531,329.38
  4. Step 4: Simplify right side
    361,202.25x = 282,310,904,737.89
  5. Step 5: Solve for x
    x = 282,310,904,737.89/361,202.25
  6. Step 6: Final answer
    x = 781,586.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.