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Finding the Third Proportional to 348,857 and 753,478

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Solution

The third proportional to 348,857 and 753,478 is: 1,627,397.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,857 : 753,478 = 753,478 : x
  2. Step 2: Convert to fraction form
    348,857/753,478 = 753,478/x
  3. Step 3: Cross multiply
    348,857x = 753,478 × 753,478
  4. Step 4: Simplify right side
    348,857x = 567,729,096,484
  5. Step 5: Solve for x
    x = 567,729,096,484/348,857
  6. Step 6: Final answer
    x = 1,627,397.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.