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Finding the Third Proportional to 729.84 and 1,242.84

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Solution

The third proportional to 729.84 and 1,242.84 is: 2,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.84 : 1,242.84 = 1,242.84 : x
  2. Step 2: Convert to fraction form
    729.84/1,242.84 = 1,242.84/x
  3. Step 3: Cross multiply
    729.84x = 1,242.84 × 1,242.84
  4. Step 4: Simplify right side
    729.84x = 1,544,660.59
  5. Step 5: Solve for x
    x = 1,544,660.59/729.84
  6. Step 6: Final answer
    x = 2,116.43

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.