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Finding the Third Proportional to 201,105 and 438,832

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Solution

The third proportional to 201,105 and 438,832 is: 957,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,105 : 438,832 = 438,832 : x
  2. Step 2: Convert to fraction form
    201,105/438,832 = 438,832/x
  3. Step 3: Cross multiply
    201,105x = 438,832 × 438,832
  4. Step 4: Simplify right side
    201,105x = 192,573,524,224
  5. Step 5: Solve for x
    x = 192,573,524,224/201,105
  6. Step 6: Final answer
    x = 957,577.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.