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Finding the Third Proportional to 613.75 and 924.13

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Solution

The third proportional to 613.75 and 924.13 is: 1,391.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.75 : 924.13 = 924.13 : x
  2. Step 2: Convert to fraction form
    613.75/924.13 = 924.13/x
  3. Step 3: Cross multiply
    613.75x = 924.13 × 924.13
  4. Step 4: Simplify right side
    613.75x = 854,007.02
  5. Step 5: Solve for x
    x = 854,007.02/613.75
  6. Step 6: Final answer
    x = 1,391.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.