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Finding the Third Proportional to 471.28 and 929.06

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Solution

The third proportional to 471.28 and 929.06 is: 1,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 929.06 = 929.06 : x
  2. Step 2: Convert to fraction form
    471.28/929.06 = 929.06/x
  3. Step 3: Cross multiply
    471.28x = 929.06 × 929.06
  4. Step 4: Simplify right side
    471.28x = 863,157.13
  5. Step 5: Solve for x
    x = 863,157.13/471.28
  6. Step 6: Final answer
    x = 1,831.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.