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Finding the Third Proportional to 258,118.50 and 391,062.75

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Solution

The third proportional to 258,118.50 and 391,062.75 is: 592,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,118.50 : 391,062.75 = 391,062.75 : x
  2. Step 2: Convert to fraction form
    258,118.50/391,062.75 = 391,062.75/x
  3. Step 3: Cross multiply
    258,118.50x = 391,062.75 × 391,062.75
  4. Step 4: Simplify right side
    258,118.50x = 152,930,074,437.56
  5. Step 5: Solve for x
    x = 152,930,074,437.56/258,118.50
  6. Step 6: Final answer
    x = 592,480.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.