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Finding the Third Proportional to 271,566 and 411,864

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Solution

The third proportional to 271,566 and 411,864 is: 624,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,566 : 411,864 = 411,864 : x
  2. Step 2: Convert to fraction form
    271,566/411,864 = 411,864/x
  3. Step 3: Cross multiply
    271,566x = 411,864 × 411,864
  4. Step 4: Simplify right side
    271,566x = 169,631,954,496
  5. Step 5: Solve for x
    x = 169,631,954,496/271,566
  6. Step 6: Final answer
    x = 624,643.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.