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Finding the Third Proportional to 361,802 and 531,862

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Solution

The third proportional to 361,802 and 531,862 is: 781,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,802 : 531,862 = 531,862 : x
  2. Step 2: Convert to fraction form
    361,802/531,862 = 531,862/x
  3. Step 3: Cross multiply
    361,802x = 531,862 × 531,862
  4. Step 4: Simplify right side
    361,802x = 282,877,187,044
  5. Step 5: Solve for x
    x = 282,877,187,044/361,802
  6. Step 6: Final answer
    x = 781,856.34

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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.