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Finding the Third Proportional to 201,632 and 441,856

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Solution

The third proportional to 201,632 and 441,856 is: 968,282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632 : 441,856 = 441,856 : x
  2. Step 2: Convert to fraction form
    201,632/441,856 = 441,856/x
  3. Step 3: Cross multiply
    201,632x = 441,856 × 441,856
  4. Step 4: Simplify right side
    201,632x = 195,236,724,736
  5. Step 5: Solve for x
    x = 195,236,724,736/201,632
  6. Step 6: Final answer
    x = 968,282.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.