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Finding the Third Proportional to 411,660 and 615,762

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Solution

The third proportional to 411,660 and 615,762 is: 921,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,660 : 615,762 = 615,762 : x
  2. Step 2: Convert to fraction form
    411,660/615,762 = 615,762/x
  3. Step 3: Cross multiply
    411,660x = 615,762 × 615,762
  4. Step 4: Simplify right side
    411,660x = 379,162,840,644
  5. Step 5: Solve for x
    x = 379,162,840,644/411,660
  6. Step 6: Final answer
    x = 921,058.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.