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Finding the Third Proportional to 606.66 and 1,507.78

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Solution

The third proportional to 606.66 and 1,507.78 is: 3,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.66 : 1,507.78 = 1,507.78 : x
  2. Step 2: Convert to fraction form
    606.66/1,507.78 = 1,507.78/x
  3. Step 3: Cross multiply
    606.66x = 1,507.78 × 1,507.78
  4. Step 4: Simplify right side
    606.66x = 2,273,404.30
  5. Step 5: Solve for x
    x = 2,273,404.30/606.66
  6. Step 6: Final answer
    x = 3,747.43

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.