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Finding the Third Proportional to 337,806 and 475,119

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Solution

The third proportional to 337,806 and 475,119 is: 668,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,806 : 475,119 = 475,119 : x
  2. Step 2: Convert to fraction form
    337,806/475,119 = 475,119/x
  3. Step 3: Cross multiply
    337,806x = 475,119 × 475,119
  4. Step 4: Simplify right side
    337,806x = 225,738,064,161
  5. Step 5: Solve for x
    x = 225,738,064,161/337,806
  6. Step 6: Final answer
    x = 668,247.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.