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Finding the Third Proportional to 201,889 and 437,217

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Solution

The third proportional to 201,889 and 437,217 is: 946,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889 : 437,217 = 437,217 : x
  2. Step 2: Convert to fraction form
    201,889/437,217 = 437,217/x
  3. Step 3: Cross multiply
    201,889x = 437,217 × 437,217
  4. Step 4: Simplify right side
    201,889x = 191,158,705,089
  5. Step 5: Solve for x
    x = 191,158,705,089/201,889
  6. Step 6: Final answer
    x = 946,850.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.