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Finding the Third Proportional to 348,727 and 739,302

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Solution

The third proportional to 348,727 and 739,302 is: 1,567,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,727 : 739,302 = 739,302 : x
  2. Step 2: Convert to fraction form
    348,727/739,302 = 739,302/x
  3. Step 3: Cross multiply
    348,727x = 739,302 × 739,302
  4. Step 4: Simplify right side
    348,727x = 546,567,447,204
  5. Step 5: Solve for x
    x = 546,567,447,204/348,727
  6. Step 6: Final answer
    x = 1,567,321.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.