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Finding the Third Proportional to 637.13 and 1,013.63

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Solution

The third proportional to 637.13 and 1,013.63 is: 1,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.13 : 1,013.63 = 1,013.63 : x
  2. Step 2: Convert to fraction form
    637.13/1,013.63 = 1,013.63/x
  3. Step 3: Cross multiply
    637.13x = 1,013.63 × 1,013.63
  4. Step 4: Simplify right side
    637.13x = 1,027,435.64
  5. Step 5: Solve for x
    x = 1,027,435.64/637.13
  6. Step 6: Final answer
    x = 1,612.61

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.