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Finding the Third Proportional to 337,596 and 739,608

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Solution

The third proportional to 337,596 and 739,608 is: 1,620,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,596 : 739,608 = 739,608 : x
  2. Step 2: Convert to fraction form
    337,596/739,608 = 739,608/x
  3. Step 3: Cross multiply
    337,596x = 739,608 × 739,608
  4. Step 4: Simplify right side
    337,596x = 547,019,993,664
  5. Step 5: Solve for x
    x = 547,019,993,664/337,596
  6. Step 6: Final answer
    x = 1,620,339.08

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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.