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Finding the Third Proportional to 348,198 and 762,000

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Solution

The third proportional to 348,198 and 762,000 is: 1,667,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,198 : 762,000 = 762,000 : x
  2. Step 2: Convert to fraction form
    348,198/762,000 = 762,000/x
  3. Step 3: Cross multiply
    348,198x = 762,000 × 762,000
  4. Step 4: Simplify right side
    348,198x = 580,644,000,000
  5. Step 5: Solve for x
    x = 580,644,000,000/348,198
  6. Step 6: Final answer
    x = 1,667,568.45

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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.