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Finding the Third Proportional to 471.13 and 954.38

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Solution

The third proportional to 471.13 and 954.38 is: 1,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.13 : 954.38 = 954.38 : x
  2. Step 2: Convert to fraction form
    471.13/954.38 = 954.38/x
  3. Step 3: Cross multiply
    471.13x = 954.38 × 954.38
  4. Step 4: Simplify right side
    471.13x = 910,831.64
  5. Step 5: Solve for x
    x = 910,831.64/471.13
  6. Step 6: Final answer
    x = 1,933.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.