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Finding the Third Proportional to 271,479 and 584,577

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Solution

The third proportional to 271,479 and 584,577 is: 1,258,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,479 : 584,577 = 584,577 : x
  2. Step 2: Convert to fraction form
    271,479/584,577 = 584,577/x
  3. Step 3: Cross multiply
    271,479x = 584,577 × 584,577
  4. Step 4: Simplify right side
    271,479x = 341,730,268,929
  5. Step 5: Solve for x
    x = 341,730,268,929/271,479
  6. Step 6: Final answer
    x = 1,258,772.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.