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Finding the Third Proportional to 354,591 and 532,137

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Solution

The third proportional to 354,591 and 532,137 is: 798,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,591 : 532,137 = 532,137 : x
  2. Step 2: Convert to fraction form
    354,591/532,137 = 532,137/x
  3. Step 3: Cross multiply
    354,591x = 532,137 × 532,137
  4. Step 4: Simplify right side
    354,591x = 283,169,786,769
  5. Step 5: Solve for x
    x = 283,169,786,769/354,591
  6. Step 6: Final answer
    x = 798,581.43

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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.