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Finding the Third Proportional to 258,117 and 391,060.50

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Solution

The third proportional to 258,117 and 391,060.50 is: 592,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,117 : 391,060.50 = 391,060.50 : x
  2. Step 2: Convert to fraction form
    258,117/391,060.50 = 391,060.50/x
  3. Step 3: Cross multiply
    258,117x = 391,060.50 × 391,060.50
  4. Step 4: Simplify right side
    258,117x = 152,928,314,660.25
  5. Step 5: Solve for x
    x = 152,928,314,660.25/258,117
  6. Step 6: Final answer
    x = 592,476.72

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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.