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Finding the Third Proportional to 342,947 and 751,275

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Solution

The third proportional to 342,947 and 751,275 is: 1,645,776.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,947 : 751,275 = 751,275 : x
  2. Step 2: Convert to fraction form
    342,947/751,275 = 751,275/x
  3. Step 3: Cross multiply
    342,947x = 751,275 × 751,275
  4. Step 4: Simplify right side
    342,947x = 564,414,125,625
  5. Step 5: Solve for x
    x = 564,414,125,625/342,947
  6. Step 6: Final answer
    x = 1,645,776.54

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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.