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Finding the Third Proportional to 637.88 and 985.61

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Solution

The third proportional to 637.88 and 985.61 is: 1,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.88 : 985.61 = 985.61 : x
  2. Step 2: Convert to fraction form
    637.88/985.61 = 985.61/x
  3. Step 3: Cross multiply
    637.88x = 985.61 × 985.61
  4. Step 4: Simplify right side
    637.88x = 971,418.14
  5. Step 5: Solve for x
    x = 971,418.14/637.88
  6. Step 6: Final answer
    x = 1,522.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.