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Finding the Third Proportional to 490.41 and 727.13

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Solution

The third proportional to 490.41 and 727.13 is: 1,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 727.13 = 727.13 : x
  2. Step 2: Convert to fraction form
    490.41/727.13 = 727.13/x
  3. Step 3: Cross multiply
    490.41x = 727.13 × 727.13
  4. Step 4: Simplify right side
    490.41x = 528,710.77
  5. Step 5: Solve for x
    x = 528,710.77/490.41
  6. Step 6: Final answer
    x = 1,078.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.