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Finding the Third Proportional to 644.88 and 1,013.75

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Solution

The third proportional to 644.88 and 1,013.75 is: 1,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.88 : 1,013.75 = 1,013.75 : x
  2. Step 2: Convert to fraction form
    644.88/1,013.75 = 1,013.75/x
  3. Step 3: Cross multiply
    644.88x = 1,013.75 × 1,013.75
  4. Step 4: Simplify right side
    644.88x = 1,027,689.06
  5. Step 5: Solve for x
    x = 1,027,689.06/644.88
  6. Step 6: Final answer
    x = 1,593.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.