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Finding the Third Proportional to 789.75 and 1,210.78

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Solution

The third proportional to 789.75 and 1,210.78 is: 1,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.75 : 1,210.78 = 1,210.78 : x
  2. Step 2: Convert to fraction form
    789.75/1,210.78 = 1,210.78/x
  3. Step 3: Cross multiply
    789.75x = 1,210.78 × 1,210.78
  4. Step 4: Simplify right side
    789.75x = 1,465,991.24
  5. Step 5: Solve for x
    x = 1,465,991.24/789.75
  6. Step 6: Final answer
    x = 1,856.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.