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Finding the Third Proportional to 194,436 and 411,966

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Solution

The third proportional to 194,436 and 411,966 is: 872,862.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,436 : 411,966 = 411,966 : x
  2. Step 2: Convert to fraction form
    194,436/411,966 = 411,966/x
  3. Step 3: Cross multiply
    194,436x = 411,966 × 411,966
  4. Step 4: Simplify right side
    194,436x = 169,715,985,156
  5. Step 5: Solve for x
    x = 169,715,985,156/194,436
  6. Step 6: Final answer
    x = 872,862.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.