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Finding the Third Proportional to 277,408 and 596,949

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Solution

The third proportional to 277,408 and 596,949 is: 1,284,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,408 : 596,949 = 596,949 : x
  2. Step 2: Convert to fraction form
    277,408/596,949 = 596,949/x
  3. Step 3: Cross multiply
    277,408x = 596,949 × 596,949
  4. Step 4: Simplify right side
    277,408x = 356,348,108,601
  5. Step 5: Solve for x
    x = 356,348,108,601/277,408
  6. Step 6: Final answer
    x = 1,284,563.20

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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.