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Finding the Third Proportional to 348,264 and 754,493

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Solution

The third proportional to 348,264 and 754,493 is: 1,634,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,264 : 754,493 = 754,493 : x
  2. Step 2: Convert to fraction form
    348,264/754,493 = 754,493/x
  3. Step 3: Cross multiply
    348,264x = 754,493 × 754,493
  4. Step 4: Simplify right side
    348,264x = 569,259,687,049
  5. Step 5: Solve for x
    x = 569,259,687,049/348,264
  6. Step 6: Final answer
    x = 1,634,563.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.