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Finding the Third Proportional to 1,014 and 1,524

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Solution

The third proportional to 1,014 and 1,524 is: 2,290.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014 : 1,524 = 1,524 : x
  2. Step 2: Convert to fraction form
    1,014/1,524 = 1,524/x
  3. Step 3: Cross multiply
    1,014x = 1,524 × 1,524
  4. Step 4: Simplify right side
    1,014x = 2,322,576
  5. Step 5: Solve for x
    x = 2,322,576/1,014
  6. Step 6: Final answer
    x = 2,290.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.