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Finding the Third Proportional to 348,419 and 763,267

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Solution

The third proportional to 348,419 and 763,267 is: 1,672,057.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,419 : 763,267 = 763,267 : x
  2. Step 2: Convert to fraction form
    348,419/763,267 = 763,267/x
  3. Step 3: Cross multiply
    348,419x = 763,267 × 763,267
  4. Step 4: Simplify right side
    348,419x = 582,576,513,289
  5. Step 5: Solve for x
    x = 582,576,513,289/348,419
  6. Step 6: Final answer
    x = 1,672,057.25

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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.