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Finding the Third Proportional to 337,802 and 475,113

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Solution

The third proportional to 337,802 and 475,113 is: 668,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,802 : 475,113 = 475,113 : x
  2. Step 2: Convert to fraction form
    337,802/475,113 = 475,113/x
  3. Step 3: Cross multiply
    337,802x = 475,113 × 475,113
  4. Step 4: Simplify right side
    337,802x = 225,732,362,769
  5. Step 5: Solve for x
    x = 225,732,362,769/337,802
  6. Step 6: Final answer
    x = 668,238.68

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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.