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Finding the Third Proportional to 277,008 and 595,392

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Solution

The third proportional to 277,008 and 595,392 is: 1,279,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,008 : 595,392 = 595,392 : x
  2. Step 2: Convert to fraction form
    277,008/595,392 = 595,392/x
  3. Step 3: Cross multiply
    277,008x = 595,392 × 595,392
  4. Step 4: Simplify right side
    277,008x = 354,491,633,664
  5. Step 5: Solve for x
    x = 354,491,633,664/277,008
  6. Step 6: Final answer
    x = 1,279,716.23

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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.