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Finding the Third Proportional to 490.13 and 1,021.88

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Solution

The third proportional to 490.13 and 1,021.88 is: 2,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.13 : 1,021.88 = 1,021.88 : x
  2. Step 2: Convert to fraction form
    490.13/1,021.88 = 1,021.88/x
  3. Step 3: Cross multiply
    490.13x = 1,021.88 × 1,021.88
  4. Step 4: Simplify right side
    490.13x = 1,044,228.52
  5. Step 5: Solve for x
    x = 1,044,228.52/490.13
  6. Step 6: Final answer
    x = 2,130.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.