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Finding the Third Proportional to 844.17 and 1,386.49

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Solution

The third proportional to 844.17 and 1,386.49 is: 2,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.17 : 1,386.49 = 1,386.49 : x
  2. Step 2: Convert to fraction form
    844.17/1,386.49 = 1,386.49/x
  3. Step 3: Cross multiply
    844.17x = 1,386.49 × 1,386.49
  4. Step 4: Simplify right side
    844.17x = 1,922,360.59
  5. Step 5: Solve for x
    x = 1,922,360.59/844.17
  6. Step 6: Final answer
    x = 2,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.