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Finding the Third Proportional to 201,834 and 475,779

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Solution

The third proportional to 201,834 and 475,779 is: 1,121,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834 : 475,779 = 475,779 : x
  2. Step 2: Convert to fraction form
    201,834/475,779 = 475,779/x
  3. Step 3: Cross multiply
    201,834x = 475,779 × 475,779
  4. Step 4: Simplify right side
    201,834x = 226,365,656,841
  5. Step 5: Solve for x
    x = 226,365,656,841/201,834
  6. Step 6: Final answer
    x = 1,121,543.73

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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.