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Finding the Third Proportional to 543.87 and 1,174.36

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Solution

The third proportional to 543.87 and 1,174.36 is: 2,535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 1,174.36 = 1,174.36 : x
  2. Step 2: Convert to fraction form
    543.87/1,174.36 = 1,174.36/x
  3. Step 3: Cross multiply
    543.87x = 1,174.36 × 1,174.36
  4. Step 4: Simplify right side
    543.87x = 1,379,119.94
  5. Step 5: Solve for x
    x = 1,379,119.94/543.87
  6. Step 6: Final answer
    x = 2,535.77

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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.