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Finding the Third Proportional to 361,902.94 and 475,900.31

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Solution

The third proportional to 361,902.94 and 475,900.31 is: 625,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,902.94 : 475,900.31 = 475,900.31 : x
  2. Step 2: Convert to fraction form
    361,902.94/475,900.31 = 475,900.31/x
  3. Step 3: Cross multiply
    361,902.94x = 475,900.31 × 475,900.31
  4. Step 4: Simplify right side
    361,902.94x = 226,481,107,437.60
  5. Step 5: Solve for x
    x = 226,481,107,437.60/361,902.94
  6. Step 6: Final answer
    x = 625,806.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.