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Finding the Third Proportional to 772.78 and 1,718.53

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Solution

The third proportional to 772.78 and 1,718.53 is: 3,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.78 : 1,718.53 = 1,718.53 : x
  2. Step 2: Convert to fraction form
    772.78/1,718.53 = 1,718.53/x
  3. Step 3: Cross multiply
    772.78x = 1,718.53 × 1,718.53
  4. Step 4: Simplify right side
    772.78x = 2,953,349.66
  5. Step 5: Solve for x
    x = 2,953,349.66/772.78
  6. Step 6: Final answer
    x = 3,821.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.