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Finding the Third Proportional to 201,832.13 and 475,774.69

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Solution

The third proportional to 201,832.13 and 475,774.69 is: 1,121,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832.13 : 475,774.69 = 475,774.69 : x
  2. Step 2: Convert to fraction form
    201,832.13/475,774.69 = 475,774.69/x
  3. Step 3: Cross multiply
    201,832.13x = 475,774.69 × 475,774.69
  4. Step 4: Simplify right side
    201,832.13x = 226,361,553,265.72
  5. Step 5: Solve for x
    x = 226,361,553,265.72/201,832.13
  6. Step 6: Final answer
    x = 1,121,533.82

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