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Finding the Third Proportional to 447 and 1,029.75

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Solution

The third proportional to 447 and 1,029.75 is: 2,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447 : 1,029.75 = 1,029.75 : x
  2. Step 2: Convert to fraction form
    447/1,029.75 = 1,029.75/x
  3. Step 3: Cross multiply
    447x = 1,029.75 × 1,029.75
  4. Step 4: Simplify right side
    447x = 1,060,385.06
  5. Step 5: Solve for x
    x = 1,060,385.06/447
  6. Step 6: Final answer
    x = 2,372.23

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.