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Finding the Third Proportional to 267,628.50 and 577,035

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Solution

The third proportional to 267,628.50 and 577,035 is: 1,244,147.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,628.50 : 577,035 = 577,035 : x
  2. Step 2: Convert to fraction form
    267,628.50/577,035 = 577,035/x
  3. Step 3: Cross multiply
    267,628.50x = 577,035 × 577,035
  4. Step 4: Simplify right side
    267,628.50x = 332,969,391,225
  5. Step 5: Solve for x
    x = 332,969,391,225/267,628.50
  6. Step 6: Final answer
    x = 1,244,147.73

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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.