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Finding the Third Proportional to 276,001 and 594,286

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Solution

The third proportional to 276,001 and 594,286 is: 1,279,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,001 : 594,286 = 594,286 : x
  2. Step 2: Convert to fraction form
    276,001/594,286 = 594,286/x
  3. Step 3: Cross multiply
    276,001x = 594,286 × 594,286
  4. Step 4: Simplify right side
    276,001x = 353,175,849,796
  5. Step 5: Solve for x
    x = 353,175,849,796/276,001
  6. Step 6: Final answer
    x = 1,279,618.01

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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.