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Finding the Third Proportional to 340,638 and 739,233

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Solution

The third proportional to 340,638 and 739,233 is: 1,604,240.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,638 : 739,233 = 739,233 : x
  2. Step 2: Convert to fraction form
    340,638/739,233 = 739,233/x
  3. Step 3: Cross multiply
    340,638x = 739,233 × 739,233
  4. Step 4: Simplify right side
    340,638x = 546,465,428,289
  5. Step 5: Solve for x
    x = 546,465,428,289/340,638
  6. Step 6: Final answer
    x = 1,604,240.95

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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.