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Finding the Third Proportional to 954.88 and 1,288.31

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Solution

The third proportional to 954.88 and 1,288.31 is: 1,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.88 : 1,288.31 = 1,288.31 : x
  2. Step 2: Convert to fraction form
    954.88/1,288.31 = 1,288.31/x
  3. Step 3: Cross multiply
    954.88x = 1,288.31 × 1,288.31
  4. Step 4: Simplify right side
    954.88x = 1,659,749.10
  5. Step 5: Solve for x
    x = 1,659,749.10/954.88
  6. Step 6: Final answer
    x = 1,738.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.