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Finding the Third Proportional to 201,289 and 411,318

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Solution

The third proportional to 201,289 and 411,318 is: 840,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,289 : 411,318 = 411,318 : x
  2. Step 2: Convert to fraction form
    201,289/411,318 = 411,318/x
  3. Step 3: Cross multiply
    201,289x = 411,318 × 411,318
  4. Step 4: Simplify right side
    201,289x = 169,182,497,124
  5. Step 5: Solve for x
    x = 169,182,497,124/201,289
  6. Step 6: Final answer
    x = 840,495.49

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.