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Finding the Third Proportional to 517.19 and 1,061.75

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Solution

The third proportional to 517.19 and 1,061.75 is: 2,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 1,061.75 = 1,061.75 : x
  2. Step 2: Convert to fraction form
    517.19/1,061.75 = 1,061.75/x
  3. Step 3: Cross multiply
    517.19x = 1,061.75 × 1,061.75
  4. Step 4: Simplify right side
    517.19x = 1,127,313.06
  5. Step 5: Solve for x
    x = 1,127,313.06/517.19
  6. Step 6: Final answer
    x = 2,179.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.