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Finding the Third Proportional to 267,630.75 and 588,491.75

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Solution

The third proportional to 267,630.75 and 588,491.75 is: 1,294,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,630.75 : 588,491.75 = 588,491.75 : x
  2. Step 2: Convert to fraction form
    267,630.75/588,491.75 = 588,491.75/x
  3. Step 3: Cross multiply
    267,630.75x = 588,491.75 × 588,491.75
  4. Step 4: Simplify right side
    267,630.75x = 346,322,539,818.06
  5. Step 5: Solve for x
    x = 346,322,539,818.06/267,630.75
  6. Step 6: Final answer
    x = 1,294,031.20

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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.