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Finding the Third Proportional to 338,991.75 and 752,328

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Solution

The third proportional to 338,991.75 and 752,328 is: 1,669,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,991.75 : 752,328 = 752,328 : x
  2. Step 2: Convert to fraction form
    338,991.75/752,328 = 752,328/x
  3. Step 3: Cross multiply
    338,991.75x = 752,328 × 752,328
  4. Step 4: Simplify right side
    338,991.75x = 565,997,419,584
  5. Step 5: Solve for x
    x = 565,997,419,584/338,991.75
  6. Step 6: Final answer
    x = 1,669,649.54

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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.