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Finding the Third Proportional to 354,634 and 532,304

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Solution

The third proportional to 354,634 and 532,304 is: 798,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,634 : 532,304 = 532,304 : x
  2. Step 2: Convert to fraction form
    354,634/532,304 = 532,304/x
  3. Step 3: Cross multiply
    354,634x = 532,304 × 532,304
  4. Step 4: Simplify right side
    354,634x = 283,347,548,416
  5. Step 5: Solve for x
    x = 283,347,548,416/354,634
  6. Step 6: Final answer
    x = 798,985.85

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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.