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Finding the Third Proportional to 389,920 and 521,551

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Solution

The third proportional to 389,920 and 521,551 is: 697,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,920 : 521,551 = 521,551 : x
  2. Step 2: Convert to fraction form
    389,920/521,551 = 521,551/x
  3. Step 3: Cross multiply
    389,920x = 521,551 × 521,551
  4. Step 4: Simplify right side
    389,920x = 272,015,445,601
  5. Step 5: Solve for x
    x = 272,015,445,601/389,920
  6. Step 6: Final answer
    x = 697,618.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.