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Finding the Third Proportional to 276,322 and 596,204

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Solution

The third proportional to 276,322 and 596,204 is: 1,286,394.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,322 : 596,204 = 596,204 : x
  2. Step 2: Convert to fraction form
    276,322/596,204 = 596,204/x
  3. Step 3: Cross multiply
    276,322x = 596,204 × 596,204
  4. Step 4: Simplify right side
    276,322x = 355,459,209,616
  5. Step 5: Solve for x
    x = 355,459,209,616/276,322
  6. Step 6: Final answer
    x = 1,286,394.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.