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Finding the Third Proportional to 489,728 and 717,825

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Solution

The third proportional to 489,728 and 717,825 is: 1,052,161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,728 : 717,825 = 717,825 : x
  2. Step 2: Convert to fraction form
    489,728/717,825 = 717,825/x
  3. Step 3: Cross multiply
    489,728x = 717,825 × 717,825
  4. Step 4: Simplify right side
    489,728x = 515,272,730,625
  5. Step 5: Solve for x
    x = 515,272,730,625/489,728
  6. Step 6: Final answer
    x = 1,052,161.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.