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Finding the Third Proportional to 361,866 and 531,966

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Solution

The third proportional to 361,866 and 531,966 is: 782,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,866 : 531,966 = 531,966 : x
  2. Step 2: Convert to fraction form
    361,866/531,966 = 531,966/x
  3. Step 3: Cross multiply
    361,866x = 531,966 × 531,966
  4. Step 4: Simplify right side
    361,866x = 282,987,825,156
  5. Step 5: Solve for x
    x = 282,987,825,156/361,866
  6. Step 6: Final answer
    x = 782,023.80

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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.