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Finding the Third Proportional to 473.98 and 1,101.73

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Solution

The third proportional to 473.98 and 1,101.73 is: 2,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.98 : 1,101.73 = 1,101.73 : x
  2. Step 2: Convert to fraction form
    473.98/1,101.73 = 1,101.73/x
  3. Step 3: Cross multiply
    473.98x = 1,101.73 × 1,101.73
  4. Step 4: Simplify right side
    473.98x = 1,213,801.42
  5. Step 5: Solve for x
    x = 1,213,801.42/473.98
  6. Step 6: Final answer
    x = 2,560.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.