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Finding the Third Proportional to 956.25 and 1,260.28

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Solution

The third proportional to 956.25 and 1,260.28 is: 1,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.25 : 1,260.28 = 1,260.28 : x
  2. Step 2: Convert to fraction form
    956.25/1,260.28 = 1,260.28/x
  3. Step 3: Cross multiply
    956.25x = 1,260.28 × 1,260.28
  4. Step 4: Simplify right side
    956.25x = 1,588,308.83
  5. Step 5: Solve for x
    x = 1,588,308.83/956.25
  6. Step 6: Final answer
    x = 1,660.98

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.