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Finding the Third Proportional to 517.64 and 1,116.28

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Solution

The third proportional to 517.64 and 1,116.28 is: 2,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 1,116.28 = 1,116.28 : x
  2. Step 2: Convert to fraction form
    517.64/1,116.28 = 1,116.28/x
  3. Step 3: Cross multiply
    517.64x = 1,116.28 × 1,116.28
  4. Step 4: Simplify right side
    517.64x = 1,246,083.83
  5. Step 5: Solve for x
    x = 1,246,083.83/517.64
  6. Step 6: Final answer
    x = 2,407.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.