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Finding the Third Proportional to 354,715 and 521,704

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Solution

The third proportional to 354,715 and 521,704 is: 767,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,715 : 521,704 = 521,704 : x
  2. Step 2: Convert to fraction form
    354,715/521,704 = 521,704/x
  3. Step 3: Cross multiply
    354,715x = 521,704 × 521,704
  4. Step 4: Simplify right side
    354,715x = 272,175,063,616
  5. Step 5: Solve for x
    x = 272,175,063,616/354,715
  6. Step 6: Final answer
    x = 767,306.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.