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Finding the Third Proportional to 717,639 and 975,045

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Solution

The third proportional to 717,639 and 975,045 is: 1,324,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,639 : 975,045 = 975,045 : x
  2. Step 2: Convert to fraction form
    717,639/975,045 = 975,045/x
  3. Step 3: Cross multiply
    717,639x = 975,045 × 975,045
  4. Step 4: Simplify right side
    717,639x = 950,712,752,025
  5. Step 5: Solve for x
    x = 950,712,752,025/717,639
  6. Step 6: Final answer
    x = 1,324,778.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.