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Finding the Third Proportional to 201,584 and 440,008

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Solution

The third proportional to 201,584 and 440,008 is: 960,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,584 : 440,008 = 440,008 : x
  2. Step 2: Convert to fraction form
    201,584/440,008 = 440,008/x
  3. Step 3: Cross multiply
    201,584x = 440,008 × 440,008
  4. Step 4: Simplify right side
    201,584x = 193,607,040,064
  5. Step 5: Solve for x
    x = 193,607,040,064/201,584
  6. Step 6: Final answer
    x = 960,428.61

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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.