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Finding the Third Proportional to 271,466 and 578,982

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Solution

The third proportional to 271,466 and 578,982 is: 1,234,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,466 : 578,982 = 578,982 : x
  2. Step 2: Convert to fraction form
    271,466/578,982 = 578,982/x
  3. Step 3: Cross multiply
    271,466x = 578,982 × 578,982
  4. Step 4: Simplify right side
    271,466x = 335,220,156,324
  5. Step 5: Solve for x
    x = 335,220,156,324/271,466
  6. Step 6: Final answer
    x = 1,234,851.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.