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Finding the Third Proportional to 250,404 and 590,517

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Solution

The third proportional to 250,404 and 590,517 is: 1,392,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,404 : 590,517 = 590,517 : x
  2. Step 2: Convert to fraction form
    250,404/590,517 = 590,517/x
  3. Step 3: Cross multiply
    250,404x = 590,517 × 590,517
  4. Step 4: Simplify right side
    250,404x = 348,710,327,289
  5. Step 5: Solve for x
    x = 348,710,327,289/250,404
  6. Step 6: Final answer
    x = 1,392,590.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.