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Finding the Third Proportional to 271,560 and 411,714

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Solution

The third proportional to 271,560 and 411,714 is: 624,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,560 : 411,714 = 411,714 : x
  2. Step 2: Convert to fraction form
    271,560/411,714 = 411,714/x
  3. Step 3: Cross multiply
    271,560x = 411,714 × 411,714
  4. Step 4: Simplify right side
    271,560x = 169,508,417,796
  5. Step 5: Solve for x
    x = 169,508,417,796/271,560
  6. Step 6: Final answer
    x = 624,202.45

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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.