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Finding the Third Proportional to 616.88 and 975.56

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Solution

The third proportional to 616.88 and 975.56 is: 1,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.88 : 975.56 = 975.56 : x
  2. Step 2: Convert to fraction form
    616.88/975.56 = 975.56/x
  3. Step 3: Cross multiply
    616.88x = 975.56 × 975.56
  4. Step 4: Simplify right side
    616.88x = 951,722.19
  5. Step 5: Solve for x
    x = 951,722.19/616.88
  6. Step 6: Final answer
    x = 1,542.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.