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Finding the Third Proportional to 271,571 and 411,730

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Solution

The third proportional to 271,571 and 411,730 is: 624,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,571 : 411,730 = 411,730 : x
  2. Step 2: Convert to fraction form
    271,571/411,730 = 411,730/x
  3. Step 3: Cross multiply
    271,571x = 411,730 × 411,730
  4. Step 4: Simplify right side
    271,571x = 169,521,592,900
  5. Step 5: Solve for x
    x = 169,521,592,900/271,571
  6. Step 6: Final answer
    x = 624,225.68

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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.