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Finding the Third Proportional to 749.81 and 1,092.09

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Solution

The third proportional to 749.81 and 1,092.09 is: 1,590.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.81 : 1,092.09 = 1,092.09 : x
  2. Step 2: Convert to fraction form
    749.81/1,092.09 = 1,092.09/x
  3. Step 3: Cross multiply
    749.81x = 1,092.09 × 1,092.09
  4. Step 4: Simplify right side
    749.81x = 1,192,668.76
  5. Step 5: Solve for x
    x = 1,192,668.76/749.81
  6. Step 6: Final answer
    x = 1,590.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.