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Finding the Third Proportional to 468,977 and 726,632

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Solution

The third proportional to 468,977 and 726,632 is: 1,125,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,977 : 726,632 = 726,632 : x
  2. Step 2: Convert to fraction form
    468,977/726,632 = 726,632/x
  3. Step 3: Cross multiply
    468,977x = 726,632 × 726,632
  4. Step 4: Simplify right side
    468,977x = 527,994,063,424
  5. Step 5: Solve for x
    x = 527,994,063,424/468,977
  6. Step 6: Final answer
    x = 1,125,842.13

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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.