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Finding the Third Proportional to 258,549.75 and 558,672.75

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Solution

The third proportional to 258,549.75 and 558,672.75 is: 1,207,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,549.75 : 558,672.75 = 558,672.75 : x
  2. Step 2: Convert to fraction form
    258,549.75/558,672.75 = 558,672.75/x
  3. Step 3: Cross multiply
    258,549.75x = 558,672.75 × 558,672.75
  4. Step 4: Simplify right side
    258,549.75x = 312,115,241,592.56
  5. Step 5: Solve for x
    x = 312,115,241,592.56/258,549.75
  6. Step 6: Final answer
    x = 1,207,176.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.