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Finding the Third Proportional to 271,908 and 596,344

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Solution

The third proportional to 271,908 and 596,344 is: 1,307,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,908 : 596,344 = 596,344 : x
  2. Step 2: Convert to fraction form
    271,908/596,344 = 596,344/x
  3. Step 3: Cross multiply
    271,908x = 596,344 × 596,344
  4. Step 4: Simplify right side
    271,908x = 355,626,166,336
  5. Step 5: Solve for x
    x = 355,626,166,336/271,908
  6. Step 6: Final answer
    x = 1,307,891.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.