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Finding the Third Proportional to 539.65 and 1,176.87

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Solution

The third proportional to 539.65 and 1,176.87 is: 2,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.65 : 1,176.87 = 1,176.87 : x
  2. Step 2: Convert to fraction form
    539.65/1,176.87 = 1,176.87/x
  3. Step 3: Cross multiply
    539.65x = 1,176.87 × 1,176.87
  4. Step 4: Simplify right side
    539.65x = 1,385,016.38
  5. Step 5: Solve for x
    x = 1,385,016.38/539.65
  6. Step 6: Final answer
    x = 2,566.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.