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Finding the Third Proportional to 325,687 and 717,634

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Solution

The third proportional to 325,687 and 717,634 is: 1,581,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,687 : 717,634 = 717,634 : x
  2. Step 2: Convert to fraction form
    325,687/717,634 = 717,634/x
  3. Step 3: Cross multiply
    325,687x = 717,634 × 717,634
  4. Step 4: Simplify right side
    325,687x = 514,998,557,956
  5. Step 5: Solve for x
    x = 514,998,557,956/325,687
  6. Step 6: Final answer
    x = 1,581,268.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.