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Finding the Third Proportional to 225,045 and 488,729.25

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Solution

The third proportional to 225,045 and 488,729.25 is: 1,061,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,045 : 488,729.25 = 488,729.25 : x
  2. Step 2: Convert to fraction form
    225,045/488,729.25 = 488,729.25/x
  3. Step 3: Cross multiply
    225,045x = 488,729.25 × 488,729.25
  4. Step 4: Simplify right side
    225,045x = 238,856,279,805.56
  5. Step 5: Solve for x
    x = 238,856,279,805.56/225,045
  6. Step 6: Final answer
    x = 1,061,371.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.