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Finding the Third Proportional to 616.50 and 954.38

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Solution

The third proportional to 616.50 and 954.38 is: 1,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.50 : 954.38 = 954.38 : x
  2. Step 2: Convert to fraction form
    616.50/954.38 = 954.38/x
  3. Step 3: Cross multiply
    616.50x = 954.38 × 954.38
  4. Step 4: Simplify right side
    616.50x = 910,831.64
  5. Step 5: Solve for x
    x = 910,831.64/616.50
  6. Step 6: Final answer
    x = 1,477.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.