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Finding the Third Proportional to 901.41 and 1,286.30

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Solution

The third proportional to 901.41 and 1,286.30 is: 1,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.41 : 1,286.30 = 1,286.30 : x
  2. Step 2: Convert to fraction form
    901.41/1,286.30 = 1,286.30/x
  3. Step 3: Cross multiply
    901.41x = 1,286.30 × 1,286.30
  4. Step 4: Simplify right side
    901.41x = 1,654,559.65
  5. Step 5: Solve for x
    x = 1,654,559.65/901.41
  6. Step 6: Final answer
    x = 1,835.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.