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Finding the Third Proportional to 437.81 and 952.69

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Solution

The third proportional to 437.81 and 952.69 is: 2,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.81 : 952.69 = 952.69 : x
  2. Step 2: Convert to fraction form
    437.81/952.69 = 952.69/x
  3. Step 3: Cross multiply
    437.81x = 952.69 × 952.69
  4. Step 4: Simplify right side
    437.81x = 907,613.47
  5. Step 5: Solve for x
    x = 907,613.47/437.81
  6. Step 6: Final answer
    x = 2,073.06

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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.