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Finding the Third Proportional to 342,878 and 752,174

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Solution

The third proportional to 342,878 and 752,174 is: 1,650,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,878 : 752,174 = 752,174 : x
  2. Step 2: Convert to fraction form
    342,878/752,174 = 752,174/x
  3. Step 3: Cross multiply
    342,878x = 752,174 × 752,174
  4. Step 4: Simplify right side
    342,878x = 565,765,726,276
  5. Step 5: Solve for x
    x = 565,765,726,276/342,878
  6. Step 6: Final answer
    x = 1,650,049.66

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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.