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Finding the Third Proportional to 686.75 and 1,066.25

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Solution

The third proportional to 686.75 and 1,066.25 is: 1,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.75 : 1,066.25 = 1,066.25 : x
  2. Step 2: Convert to fraction form
    686.75/1,066.25 = 1,066.25/x
  3. Step 3: Cross multiply
    686.75x = 1,066.25 × 1,066.25
  4. Step 4: Simplify right side
    686.75x = 1,136,889.06
  5. Step 5: Solve for x
    x = 1,136,889.06/686.75
  6. Step 6: Final answer
    x = 1,655.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.