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Finding the Third Proportional to 201,622 and 439,532

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Solution

The third proportional to 201,622 and 439,532 is: 958,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,622 : 439,532 = 439,532 : x
  2. Step 2: Convert to fraction form
    201,622/439,532 = 439,532/x
  3. Step 3: Cross multiply
    201,622x = 439,532 × 439,532
  4. Step 4: Simplify right side
    201,622x = 193,188,379,024
  5. Step 5: Solve for x
    x = 193,188,379,024/201,622
  6. Step 6: Final answer
    x = 958,171.13

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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.