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Finding the Third Proportional to 775.83 and 1,237.78

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Solution

The third proportional to 775.83 and 1,237.78 is: 1,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.83 : 1,237.78 = 1,237.78 : x
  2. Step 2: Convert to fraction form
    775.83/1,237.78 = 1,237.78/x
  3. Step 3: Cross multiply
    775.83x = 1,237.78 × 1,237.78
  4. Step 4: Simplify right side
    775.83x = 1,532,102.42
  5. Step 5: Solve for x
    x = 1,532,102.42/775.83
  6. Step 6: Final answer
    x = 1,974.80

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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.