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Finding the Third Proportional to 325,689.50 and 717,637

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Solution

The third proportional to 325,689.50 and 717,637 is: 1,581,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,689.50 : 717,637 = 717,637 : x
  2. Step 2: Convert to fraction form
    325,689.50/717,637 = 717,637/x
  3. Step 3: Cross multiply
    325,689.50x = 717,637 × 717,637
  4. Step 4: Simplify right side
    325,689.50x = 515,002,863,769
  5. Step 5: Solve for x
    x = 515,002,863,769/325,689.50
  6. Step 6: Final answer
    x = 1,581,269.47

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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.