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Finding the Third Proportional to 342,890 and 752,228

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Solution

The third proportional to 342,890 and 752,228 is: 1,650,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,890 : 752,228 = 752,228 : x
  2. Step 2: Convert to fraction form
    342,890/752,228 = 752,228/x
  3. Step 3: Cross multiply
    342,890x = 752,228 × 752,228
  4. Step 4: Simplify right side
    342,890x = 565,846,963,984
  5. Step 5: Solve for x
    x = 565,846,963,984/342,890
  6. Step 6: Final answer
    x = 1,650,228.83

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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.