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Finding the Third Proportional to 361,791 and 531,847

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Solution

The third proportional to 361,791 and 531,847 is: 781,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,791 : 531,847 = 531,847 : x
  2. Step 2: Convert to fraction form
    361,791/531,847 = 531,847/x
  3. Step 3: Cross multiply
    361,791x = 531,847 × 531,847
  4. Step 4: Simplify right side
    361,791x = 282,861,231,409
  5. Step 5: Solve for x
    x = 282,861,231,409/361,791
  6. Step 6: Final answer
    x = 781,836.01

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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.