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Finding the Third Proportional to 943.13 and 1,498.13

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Solution

The third proportional to 943.13 and 1,498.13 is: 2,379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.13 : 1,498.13 = 1,498.13 : x
  2. Step 2: Convert to fraction form
    943.13/1,498.13 = 1,498.13/x
  3. Step 3: Cross multiply
    943.13x = 1,498.13 × 1,498.13
  4. Step 4: Simplify right side
    943.13x = 2,244,378.52
  5. Step 5: Solve for x
    x = 2,244,378.52/943.13
  6. Step 6: Final answer
    x = 2,379.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.