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Finding the Third Proportional to 201,832.88 and 475,776.56

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Solution

The third proportional to 201,832.88 and 475,776.56 is: 1,121,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,832.88 : 475,776.56 = 475,776.56 : x
  2. Step 2: Convert to fraction form
    201,832.88/475,776.56 = 475,776.56/x
  3. Step 3: Cross multiply
    201,832.88x = 475,776.56 × 475,776.56
  4. Step 4: Simplify right side
    201,832.88x = 226,363,337,424.32
  5. Step 5: Solve for x
    x = 226,363,337,424.32/201,832.88
  6. Step 6: Final answer
    x = 1,121,538.49

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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.