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Finding the Third Proportional to 613.83 and 1,013.13

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Solution

The third proportional to 613.83 and 1,013.13 is: 1,672.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.83 : 1,013.13 = 1,013.13 : x
  2. Step 2: Convert to fraction form
    613.83/1,013.13 = 1,013.13/x
  3. Step 3: Cross multiply
    613.83x = 1,013.13 × 1,013.13
  4. Step 4: Simplify right side
    613.83x = 1,026,438.10
  5. Step 5: Solve for x
    x = 1,026,438.10/613.83
  6. Step 6: Final answer
    x = 1,672.19

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.