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Finding the Third Proportional to 744.19 and 1,677.94

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Solution

The third proportional to 744.19 and 1,677.94 is: 3,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.19 : 1,677.94 = 1,677.94 : x
  2. Step 2: Convert to fraction form
    744.19/1,677.94 = 1,677.94/x
  3. Step 3: Cross multiply
    744.19x = 1,677.94 × 1,677.94
  4. Step 4: Simplify right side
    744.19x = 2,815,474.25
  5. Step 5: Solve for x
    x = 2,815,474.25/744.19
  6. Step 6: Final answer
    x = 3,783.29

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.