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Finding the Third Proportional to 758.95 and 1,634.34

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Solution

The third proportional to 758.95 and 1,634.34 is: 3,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.95 : 1,634.34 = 1,634.34 : x
  2. Step 2: Convert to fraction form
    758.95/1,634.34 = 1,634.34/x
  3. Step 3: Cross multiply
    758.95x = 1,634.34 × 1,634.34
  4. Step 4: Simplify right side
    758.95x = 2,671,079.49
  5. Step 5: Solve for x
    x = 2,671,079.49/758.95
  6. Step 6: Final answer
    x = 3,519.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.