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Finding the Third Proportional to 675.84 and 1,002.85

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Solution

The third proportional to 675.84 and 1,002.85 is: 1,488.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.84 : 1,002.85 = 1,002.85 : x
  2. Step 2: Convert to fraction form
    675.84/1,002.85 = 1,002.85/x
  3. Step 3: Cross multiply
    675.84x = 1,002.85 × 1,002.85
  4. Step 4: Simplify right side
    675.84x = 1,005,707.34
  5. Step 5: Solve for x
    x = 1,005,707.34/675.84
  6. Step 6: Final answer
    x = 1,488.08

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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.