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Finding the Third Proportional to 686.25 and 1,469.25

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Solution

The third proportional to 686.25 and 1,469.25 is: 3,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,469.25 = 1,469.25 : x
  2. Step 2: Convert to fraction form
    686.25/1,469.25 = 1,469.25/x
  3. Step 3: Cross multiply
    686.25x = 1,469.25 × 1,469.25
  4. Step 4: Simplify right side
    686.25x = 2,158,695.56
  5. Step 5: Solve for x
    x = 2,158,695.56/686.25
  6. Step 6: Final answer
    x = 3,145.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.