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Finding the Third Proportional to 250,413 and 387,771

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Solution

The third proportional to 250,413 and 387,771 is: 600,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,413 : 387,771 = 387,771 : x
  2. Step 2: Convert to fraction form
    250,413/387,771 = 387,771/x
  3. Step 3: Cross multiply
    250,413x = 387,771 × 387,771
  4. Step 4: Simplify right side
    250,413x = 150,366,348,441
  5. Step 5: Solve for x
    x = 150,366,348,441/250,413
  6. Step 6: Final answer
    x = 600,473.41

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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.