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Finding the Third Proportional to 337,606 and 739,628

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Solution

The third proportional to 337,606 and 739,628 is: 1,620,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,606 : 739,628 = 739,628 : x
  2. Step 2: Convert to fraction form
    337,606/739,628 = 739,628/x
  3. Step 3: Cross multiply
    337,606x = 739,628 × 739,628
  4. Step 4: Simplify right side
    337,606x = 547,049,578,384
  5. Step 5: Solve for x
    x = 547,049,578,384/337,606
  6. Step 6: Final answer
    x = 1,620,378.72

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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.