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Finding the Third Proportional to 775.78 and 1,614.09

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Solution

The third proportional to 775.78 and 1,614.09 is: 3,358.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.78 : 1,614.09 = 1,614.09 : x
  2. Step 2: Convert to fraction form
    775.78/1,614.09 = 1,614.09/x
  3. Step 3: Cross multiply
    775.78x = 1,614.09 × 1,614.09
  4. Step 4: Simplify right side
    775.78x = 2,605,298.63
  5. Step 5: Solve for x
    x = 2,605,298.63/775.78
  6. Step 6: Final answer
    x = 3,358.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.