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Finding the Third Proportional to 201,843 and 475,800.75

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Solution

The third proportional to 201,843 and 475,800.75 is: 1,121,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,843 : 475,800.75 = 475,800.75 : x
  2. Step 2: Convert to fraction form
    201,843/475,800.75 = 475,800.75/x
  3. Step 3: Cross multiply
    201,843x = 475,800.75 × 475,800.75
  4. Step 4: Simplify right side
    201,843x = 226,386,353,700.56
  5. Step 5: Solve for x
    x = 226,386,353,700.56/201,843
  6. Step 6: Final answer
    x = 1,121,596.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.