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Finding the Third Proportional to 187,993 and 391,479

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Solution

The third proportional to 187,993 and 391,479 is: 815,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,993 : 391,479 = 391,479 : x
  2. Step 2: Convert to fraction form
    187,993/391,479 = 391,479/x
  3. Step 3: Cross multiply
    187,993x = 391,479 × 391,479
  4. Step 4: Simplify right side
    187,993x = 153,255,807,441
  5. Step 5: Solve for x
    x = 153,255,807,441/187,993
  6. Step 6: Final answer
    x = 815,220.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.