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Finding the Third Proportional to 250,401 and 590,509

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Solution

The third proportional to 250,401 and 590,509 is: 1,392,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,401 : 590,509 = 590,509 : x
  2. Step 2: Convert to fraction form
    250,401/590,509 = 590,509/x
  3. Step 3: Cross multiply
    250,401x = 590,509 × 590,509
  4. Step 4: Simplify right side
    250,401x = 348,700,879,081
  5. Step 5: Solve for x
    x = 348,700,879,081/250,401
  6. Step 6: Final answer
    x = 1,392,569.83

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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.