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Finding the Third Proportional to 482,644 and 634,686

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Solution

The third proportional to 482,644 and 634,686 is: 834,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,644 : 634,686 = 634,686 : x
  2. Step 2: Convert to fraction form
    482,644/634,686 = 634,686/x
  3. Step 3: Cross multiply
    482,644x = 634,686 × 634,686
  4. Step 4: Simplify right side
    482,644x = 402,826,318,596
  5. Step 5: Solve for x
    x = 402,826,318,596/482,644
  6. Step 6: Final answer
    x = 834,624.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.