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Finding the Third Proportional to 687.38 and 1,015.88

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Solution

The third proportional to 687.38 and 1,015.88 is: 1,501.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.38 : 1,015.88 = 1,015.88 : x
  2. Step 2: Convert to fraction form
    687.38/1,015.88 = 1,015.88/x
  3. Step 3: Cross multiply
    687.38x = 1,015.88 × 1,015.88
  4. Step 4: Simplify right side
    687.38x = 1,032,002.02
  5. Step 5: Solve for x
    x = 1,032,002.02/687.38
  6. Step 6: Final answer
    x = 1,501.37

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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.