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Finding the Third Proportional to 811.13 and 1,703.81

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Solution

The third proportional to 811.13 and 1,703.81 is: 3,578.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.13 : 1,703.81 = 1,703.81 : x
  2. Step 2: Convert to fraction form
    811.13/1,703.81 = 1,703.81/x
  3. Step 3: Cross multiply
    811.13x = 1,703.81 × 1,703.81
  4. Step 4: Simplify right side
    811.13x = 2,902,977.04
  5. Step 5: Solve for x
    x = 2,902,977.04/811.13
  6. Step 6: Final answer
    x = 3,578.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.