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Finding the Third Proportional to 342,144 and 752,976

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Solution

The third proportional to 342,144 and 752,976 is: 1,657,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,144 : 752,976 = 752,976 : x
  2. Step 2: Convert to fraction form
    342,144/752,976 = 752,976/x
  3. Step 3: Cross multiply
    342,144x = 752,976 × 752,976
  4. Step 4: Simplify right side
    342,144x = 566,972,856,576
  5. Step 5: Solve for x
    x = 566,972,856,576/342,144
  6. Step 6: Final answer
    x = 1,657,117.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.