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Finding the Third Proportional to 437.91 and 905.13

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Solution

The third proportional to 437.91 and 905.13 is: 1,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.91 : 905.13 = 905.13 : x
  2. Step 2: Convert to fraction form
    437.91/905.13 = 905.13/x
  3. Step 3: Cross multiply
    437.91x = 905.13 × 905.13
  4. Step 4: Simplify right side
    437.91x = 819,265.41
  5. Step 5: Solve for x
    x = 819,265.41/437.91
  6. Step 6: Final answer
    x = 1,870.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.