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Finding the Third Proportional to 267,631.50 and 577,041

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Solution

The third proportional to 267,631.50 and 577,041 is: 1,244,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,631.50 : 577,041 = 577,041 : x
  2. Step 2: Convert to fraction form
    267,631.50/577,041 = 577,041/x
  3. Step 3: Cross multiply
    267,631.50x = 577,041 × 577,041
  4. Step 4: Simplify right side
    267,631.50x = 332,976,315,681
  5. Step 5: Solve for x
    x = 332,976,315,681/267,631.50
  6. Step 6: Final answer
    x = 1,244,159.66

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Why These Related Problems?

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