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Finding the Third Proportional to 758.44 and 1,215.94

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Solution

The third proportional to 758.44 and 1,215.94 is: 1,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.44 : 1,215.94 = 1,215.94 : x
  2. Step 2: Convert to fraction form
    758.44/1,215.94 = 1,215.94/x
  3. Step 3: Cross multiply
    758.44x = 1,215.94 × 1,215.94
  4. Step 4: Simplify right side
    758.44x = 1,478,504.00
  5. Step 5: Solve for x
    x = 1,478,504.00/758.44
  6. Step 6: Final answer
    x = 1,949.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.