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Finding the Third Proportional to 267,459.75 and 587,403

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Solution

The third proportional to 267,459.75 and 587,403 is: 1,290,071.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,459.75 : 587,403 = 587,403 : x
  2. Step 2: Convert to fraction form
    267,459.75/587,403 = 587,403/x
  3. Step 3: Cross multiply
    267,459.75x = 587,403 × 587,403
  4. Step 4: Simplify right side
    267,459.75x = 345,042,284,409
  5. Step 5: Solve for x
    x = 345,042,284,409/267,459.75
  6. Step 6: Final answer
    x = 1,290,071.81

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Why These Related Problems?

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