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Finding the Third Proportional to 494.02 and 1,005.12

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Solution

The third proportional to 494.02 and 1,005.12 is: 2,045.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.02 : 1,005.12 = 1,005.12 : x
  2. Step 2: Convert to fraction form
    494.02/1,005.12 = 1,005.12/x
  3. Step 3: Cross multiply
    494.02x = 1,005.12 × 1,005.12
  4. Step 4: Simplify right side
    494.02x = 1,010,260.56
  5. Step 5: Solve for x
    x = 1,010,260.56/494.02
  6. Step 6: Final answer
    x = 2,045.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.