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Finding the Third Proportional to 337,514 and 734,210

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Solution

The third proportional to 337,514 and 734,210 is: 1,597,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,514 : 734,210 = 734,210 : x
  2. Step 2: Convert to fraction form
    337,514/734,210 = 734,210/x
  3. Step 3: Cross multiply
    337,514x = 734,210 × 734,210
  4. Step 4: Simplify right side
    337,514x = 539,064,324,100
  5. Step 5: Solve for x
    x = 539,064,324,100/337,514
  6. Step 6: Final answer
    x = 1,597,161.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.