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Finding the Third Proportional to 286.13 and 645.19

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Solution

The third proportional to 286.13 and 645.19 is: 1,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 645.19 = 645.19 : x
  2. Step 2: Convert to fraction form
    286.13/645.19 = 645.19/x
  3. Step 3: Cross multiply
    286.13x = 645.19 × 645.19
  4. Step 4: Simplify right side
    286.13x = 416,266.91
  5. Step 5: Solve for x
    x = 416,266.91/286.13
  6. Step 6: Final answer
    x = 1,454.84

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.