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Finding the Third Proportional to 782.34 and 1,466.16

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Solution

The third proportional to 782.34 and 1,466.16 is: 2,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.34 : 1,466.16 = 1,466.16 : x
  2. Step 2: Convert to fraction form
    782.34/1,466.16 = 1,466.16/x
  3. Step 3: Cross multiply
    782.34x = 1,466.16 × 1,466.16
  4. Step 4: Simplify right side
    782.34x = 2,149,614.15
  5. Step 5: Solve for x
    x = 2,149,614.15/782.34
  6. Step 6: Final answer
    x = 2,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.