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Finding the Third Proportional to 271,440 and 567,624

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Solution

The third proportional to 271,440 and 567,624 is: 1,186,991.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,440 : 567,624 = 567,624 : x
  2. Step 2: Convert to fraction form
    271,440/567,624 = 567,624/x
  3. Step 3: Cross multiply
    271,440x = 567,624 × 567,624
  4. Step 4: Simplify right side
    271,440x = 322,197,005,376
  5. Step 5: Solve for x
    x = 322,197,005,376/271,440
  6. Step 6: Final answer
    x = 1,186,991.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.