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Finding the Third Proportional to 616.50 and 844.88

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Solution

The third proportional to 616.50 and 844.88 is: 1,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 844.88 = 844.88 : x
  2. Step 2: Convert to fraction form
    616.50/844.88 = 844.88/x
  3. Step 3: Cross multiply
    616.50x = 844.88 × 844.88
  4. Step 4: Simplify right side
    616.50x = 713,813.77
  5. Step 5: Solve for x
    x = 713,813.77/616.50
  6. Step 6: Final answer
    x = 1,157.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.