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Finding the Third Proportional to 856.03 and 1,321.78

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Solution

The third proportional to 856.03 and 1,321.78 is: 2,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.03 : 1,321.78 = 1,321.78 : x
  2. Step 2: Convert to fraction form
    856.03/1,321.78 = 1,321.78/x
  3. Step 3: Cross multiply
    856.03x = 1,321.78 × 1,321.78
  4. Step 4: Simplify right side
    856.03x = 1,747,105.67
  5. Step 5: Solve for x
    x = 1,747,105.67/856.03
  6. Step 6: Final answer
    x = 2,040.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.