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Finding the Third Proportional to 342,924 and 752,268

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Solution

The third proportional to 342,924 and 752,268 is: 1,650,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,924 : 752,268 = 752,268 : x
  2. Step 2: Convert to fraction form
    342,924/752,268 = 752,268/x
  3. Step 3: Cross multiply
    342,924x = 752,268 × 752,268
  4. Step 4: Simplify right side
    342,924x = 565,907,143,824
  5. Step 5: Solve for x
    x = 565,907,143,824/342,924
  6. Step 6: Final answer
    x = 1,650,240.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.