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Finding the Third Proportional to 616.75 and 1,215.75

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Solution

The third proportional to 616.75 and 1,215.75 is: 2,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 1,215.75 = 1,215.75 : x
  2. Step 2: Convert to fraction form
    616.75/1,215.75 = 1,215.75/x
  3. Step 3: Cross multiply
    616.75x = 1,215.75 × 1,215.75
  4. Step 4: Simplify right side
    616.75x = 1,478,048.06
  5. Step 5: Solve for x
    x = 1,478,048.06/616.75
  6. Step 6: Final answer
    x = 2,396.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.