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Finding the Third Proportional to 616.69 and 1,332.19

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Solution

The third proportional to 616.69 and 1,332.19 is: 2,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.69 : 1,332.19 = 1,332.19 : x
  2. Step 2: Convert to fraction form
    616.69/1,332.19 = 1,332.19/x
  3. Step 3: Cross multiply
    616.69x = 1,332.19 × 1,332.19
  4. Step 4: Simplify right side
    616.69x = 1,774,723.54
  5. Step 5: Solve for x
    x = 1,774,723.54/616.69
  6. Step 6: Final answer
    x = 2,877.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.