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Finding the Third Proportional to 686.53 and 1,015.03

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Solution

The third proportional to 686.53 and 1,015.03 is: 1,500.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.53 : 1,015.03 = 1,015.03 : x
  2. Step 2: Convert to fraction form
    686.53/1,015.03 = 1,015.03/x
  3. Step 3: Cross multiply
    686.53x = 1,015.03 × 1,015.03
  4. Step 4: Simplify right side
    686.53x = 1,030,288.44
  5. Step 5: Solve for x
    x = 1,030,288.44/686.53
  6. Step 6: Final answer
    x = 1,500.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.