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Finding the Third Proportional to 201,837 and 475,786

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Solution

The third proportional to 201,837 and 475,786 is: 1,121,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837 : 475,786 = 475,786 : x
  2. Step 2: Convert to fraction form
    201,837/475,786 = 475,786/x
  3. Step 3: Cross multiply
    201,837x = 475,786 × 475,786
  4. Step 4: Simplify right side
    201,837x = 226,372,317,796
  5. Step 5: Solve for x
    x = 226,372,317,796/201,837
  6. Step 6: Final answer
    x = 1,121,560.06

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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.