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Finding the Third Proportional to 267,454.13 and 587,395.13

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Solution

The third proportional to 267,454.13 and 587,395.13 is: 1,290,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,454.13 : 587,395.13 = 587,395.13 : x
  2. Step 2: Convert to fraction form
    267,454.13/587,395.13 = 587,395.13/x
  3. Step 3: Cross multiply
    267,454.13x = 587,395.13 × 587,395.13
  4. Step 4: Simplify right side
    267,454.13x = 345,033,032,873.77
  5. Step 5: Solve for x
    x = 345,033,032,873.77/267,454.13
  6. Step 6: Final answer
    x = 1,290,064.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.