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Finding the Third Proportional to 201,294 and 411,327

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Solution

The third proportional to 201,294 and 411,327 is: 840,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,294 : 411,327 = 411,327 : x
  2. Step 2: Convert to fraction form
    201,294/411,327 = 411,327/x
  3. Step 3: Cross multiply
    201,294x = 411,327 × 411,327
  4. Step 4: Simplify right side
    201,294x = 169,189,900,929
  5. Step 5: Solve for x
    x = 169,189,900,929/201,294
  6. Step 6: Final answer
    x = 840,511.40

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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.