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Finding the Third Proportional to 361,446 and 542,169

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Solution

The third proportional to 361,446 and 542,169 is: 813,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,446 : 542,169 = 542,169 : x
  2. Step 2: Convert to fraction form
    361,446/542,169 = 542,169/x
  3. Step 3: Cross multiply
    361,446x = 542,169 × 542,169
  4. Step 4: Simplify right side
    361,446x = 293,947,224,561
  5. Step 5: Solve for x
    x = 293,947,224,561/361,446
  6. Step 6: Final answer
    x = 813,253.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.