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Finding the Third Proportional to 337,804 and 475,116

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Solution

The third proportional to 337,804 and 475,116 is: 668,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,804 : 475,116 = 475,116 : x
  2. Step 2: Convert to fraction form
    337,804/475,116 = 475,116/x
  3. Step 3: Cross multiply
    337,804x = 475,116 × 475,116
  4. Step 4: Simplify right side
    337,804x = 225,735,213,456
  5. Step 5: Solve for x
    x = 225,735,213,456/337,804
  6. Step 6: Final answer
    x = 668,243.16

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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.