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Finding the Third Proportional to 686.50 and 924.25

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Solution

The third proportional to 686.50 and 924.25 is: 1,244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.50 : 924.25 = 924.25 : x
  2. Step 2: Convert to fraction form
    686.50/924.25 = 924.25/x
  3. Step 3: Cross multiply
    686.50x = 924.25 × 924.25
  4. Step 4: Simplify right side
    686.50x = 854,238.06
  5. Step 5: Solve for x
    x = 854,238.06/686.50
  6. Step 6: Final answer
    x = 1,244.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.