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Finding the Third Proportional to 252.07 and 644.20

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Solution

The third proportional to 252.07 and 644.20 is: 1,646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.07 : 644.20 = 644.20 : x
  2. Step 2: Convert to fraction form
    252.07/644.20 = 644.20/x
  3. Step 3: Cross multiply
    252.07x = 644.20 × 644.20
  4. Step 4: Simplify right side
    252.07x = 414,997.67
  5. Step 5: Solve for x
    x = 414,997.67/252.07
  6. Step 6: Final answer
    x = 1,646.36

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.