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Finding the Third Proportional to 956.18 and 1,514.64

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Solution

The third proportional to 956.18 and 1,514.64 is: 2,399.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.18 : 1,514.64 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    956.18/1,514.64 = 1,514.64/x
  3. Step 3: Cross multiply
    956.18x = 1,514.64 × 1,514.64
  4. Step 4: Simplify right side
    956.18x = 2,294,124.39
  5. Step 5: Solve for x
    x = 2,294,124.39/956.18
  6. Step 6: Final answer
    x = 2,399.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.