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Finding the Third Proportional to 674.75 and 1,029.88

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Solution

The third proportional to 674.75 and 1,029.88 is: 1,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.75 : 1,029.88 = 1,029.88 : x
  2. Step 2: Convert to fraction form
    674.75/1,029.88 = 1,029.88/x
  3. Step 3: Cross multiply
    674.75x = 1,029.88 × 1,029.88
  4. Step 4: Simplify right side
    674.75x = 1,060,642.52
  5. Step 5: Solve for x
    x = 1,060,642.52/674.75
  6. Step 6: Final answer
    x = 1,571.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.