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Finding the Third Proportional to 354,631 and 532,301

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Solution

The third proportional to 354,631 and 532,301 is: 798,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,631 : 532,301 = 532,301 : x
  2. Step 2: Convert to fraction form
    354,631/532,301 = 532,301/x
  3. Step 3: Cross multiply
    354,631x = 532,301 × 532,301
  4. Step 4: Simplify right side
    354,631x = 283,344,354,601
  5. Step 5: Solve for x
    x = 283,344,354,601/354,631
  6. Step 6: Final answer
    x = 798,983.60

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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.