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Finding the Third Proportional to 411.19 and 811.13

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Solution

The third proportional to 411.19 and 811.13 is: 1,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.19 : 811.13 = 811.13 : x
  2. Step 2: Convert to fraction form
    411.19/811.13 = 811.13/x
  3. Step 3: Cross multiply
    411.19x = 811.13 × 811.13
  4. Step 4: Simplify right side
    411.19x = 657,923.77
  5. Step 5: Solve for x
    x = 657,923.77/411.19
  6. Step 6: Final answer
    x = 1,600.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.