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Finding the Third Proportional to 201,847 and 475,810

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Solution

The third proportional to 201,847 and 475,810 is: 1,121,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,847 : 475,810 = 475,810 : x
  2. Step 2: Convert to fraction form
    201,847/475,810 = 475,810/x
  3. Step 3: Cross multiply
    201,847x = 475,810 × 475,810
  4. Step 4: Simplify right side
    201,847x = 226,395,156,100
  5. Step 5: Solve for x
    x = 226,395,156,100/201,847
  6. Step 6: Final answer
    x = 1,121,617.64

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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.