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Finding the Third Proportional to 468,975 and 726,630

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Solution

The third proportional to 468,975 and 726,630 is: 1,125,840.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,975 : 726,630 = 726,630 : x
  2. Step 2: Convert to fraction form
    468,975/726,630 = 726,630/x
  3. Step 3: Cross multiply
    468,975x = 726,630 × 726,630
  4. Step 4: Simplify right side
    468,975x = 527,991,156,900
  5. Step 5: Solve for x
    x = 527,991,156,900/468,975
  6. Step 6: Final answer
    x = 1,125,840.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.