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Finding the Third Proportional to 342,048 and 791,751

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Solution

The third proportional to 342,048 and 791,751 is: 1,832,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,048 : 791,751 = 791,751 : x
  2. Step 2: Convert to fraction form
    342,048/791,751 = 791,751/x
  3. Step 3: Cross multiply
    342,048x = 791,751 × 791,751
  4. Step 4: Simplify right side
    342,048x = 626,869,646,001
  5. Step 5: Solve for x
    x = 626,869,646,001/342,048
  6. Step 6: Final answer
    x = 1,832,694.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.