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Finding the Third Proportional to 809.50 and 1,734.13

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Solution

The third proportional to 809.50 and 1,734.13 is: 3,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.50 : 1,734.13 = 1,734.13 : x
  2. Step 2: Convert to fraction form
    809.50/1,734.13 = 1,734.13/x
  3. Step 3: Cross multiply
    809.50x = 1,734.13 × 1,734.13
  4. Step 4: Simplify right side
    809.50x = 3,007,189.52
  5. Step 5: Solve for x
    x = 3,007,189.52/809.50
  6. Step 6: Final answer
    x = 3,714.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.