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Finding the Third Proportional to 277,514 and 597,112

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Solution

The third proportional to 277,514 and 597,112 is: 1,284,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,514 : 597,112 = 597,112 : x
  2. Step 2: Convert to fraction form
    277,514/597,112 = 597,112/x
  3. Step 3: Cross multiply
    277,514x = 597,112 × 597,112
  4. Step 4: Simplify right side
    277,514x = 356,542,740,544
  5. Step 5: Solve for x
    x = 356,542,740,544/277,514
  6. Step 6: Final answer
    x = 1,284,773.89

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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.