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Finding the Third Proportional to 410,624 and 614,268

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Solution

The third proportional to 410,624 and 614,268 is: 918,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,624 : 614,268 = 614,268 : x
  2. Step 2: Convert to fraction form
    410,624/614,268 = 614,268/x
  3. Step 3: Cross multiply
    410,624x = 614,268 × 614,268
  4. Step 4: Simplify right side
    410,624x = 377,325,175,824
  5. Step 5: Solve for x
    x = 377,325,175,824/410,624
  6. Step 6: Final answer
    x = 918,906.78

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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.