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Finding the Third Proportional to 354,542 and 532,065

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Solution

The third proportional to 354,542 and 532,065 is: 798,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,542 : 532,065 = 532,065 : x
  2. Step 2: Convert to fraction form
    354,542/532,065 = 532,065/x
  3. Step 3: Cross multiply
    354,542x = 532,065 × 532,065
  4. Step 4: Simplify right side
    354,542x = 283,093,164,225
  5. Step 5: Solve for x
    x = 283,093,164,225/354,542
  6. Step 6: Final answer
    x = 798,475.68

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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.