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Finding the Third Proportional to 271,485 and 584,397

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Solution

The third proportional to 271,485 and 584,397 is: 1,257,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,485 : 584,397 = 584,397 : x
  2. Step 2: Convert to fraction form
    271,485/584,397 = 584,397/x
  3. Step 3: Cross multiply
    271,485x = 584,397 × 584,397
  4. Step 4: Simplify right side
    271,485x = 341,519,853,609
  5. Step 5: Solve for x
    x = 341,519,853,609/271,485
  6. Step 6: Final answer
    x = 1,257,969.51

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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.