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Finding the Third Proportional to 236,891 and 506,344

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Solution

The third proportional to 236,891 and 506,344 is: 1,082,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,891 : 506,344 = 506,344 : x
  2. Step 2: Convert to fraction form
    236,891/506,344 = 506,344/x
  3. Step 3: Cross multiply
    236,891x = 506,344 × 506,344
  4. Step 4: Simplify right side
    236,891x = 256,384,246,336
  5. Step 5: Solve for x
    x = 256,384,246,336/236,891
  6. Step 6: Final answer
    x = 1,082,287.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.