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Finding the Third Proportional to 711.19 and 1,451.34

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Solution

The third proportional to 711.19 and 1,451.34 is: 2,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.19 : 1,451.34 = 1,451.34 : x
  2. Step 2: Convert to fraction form
    711.19/1,451.34 = 1,451.34/x
  3. Step 3: Cross multiply
    711.19x = 1,451.34 × 1,451.34
  4. Step 4: Simplify right side
    711.19x = 2,106,398.68
  5. Step 5: Solve for x
    x = 2,106,398.68/711.19
  6. Step 6: Final answer
    x = 2,961.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.