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Finding the Third Proportional to 277,126 and 596,983

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Solution

The third proportional to 277,126 and 596,983 is: 1,286,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,126 : 596,983 = 596,983 : x
  2. Step 2: Convert to fraction form
    277,126/596,983 = 596,983/x
  3. Step 3: Cross multiply
    277,126x = 596,983 × 596,983
  4. Step 4: Simplify right side
    277,126x = 356,388,702,289
  5. Step 5: Solve for x
    x = 356,388,702,289/277,126
  6. Step 6: Final answer
    x = 1,286,016.84

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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.