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Finding the Third Proportional to 616.36 and 922.29

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Solution

The third proportional to 616.36 and 922.29 is: 1,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 922.29 = 922.29 : x
  2. Step 2: Convert to fraction form
    616.36/922.29 = 922.29/x
  3. Step 3: Cross multiply
    616.36x = 922.29 × 922.29
  4. Step 4: Simplify right side
    616.36x = 850,617.11
  5. Step 5: Solve for x
    x = 850,617.11/616.36
  6. Step 6: Final answer
    x = 1,380.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.