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Finding the Third Proportional to 411.13 and 611.89

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Solution

The third proportional to 411.13 and 611.89 is: 910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.13 : 611.89 = 611.89 : x
  2. Step 2: Convert to fraction form
    411.13/611.89 = 611.89/x
  3. Step 3: Cross multiply
    411.13x = 611.89 × 611.89
  4. Step 4: Simplify right side
    411.13x = 374,409.54
  5. Step 5: Solve for x
    x = 374,409.54/411.13
  6. Step 6: Final answer
    x = 910.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.