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Finding the Third Proportional to 277,296 and 396,248

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Solution

The third proportional to 277,296 and 396,248 is: 566,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,296 : 396,248 = 396,248 : x
  2. Step 2: Convert to fraction form
    277,296/396,248 = 396,248/x
  3. Step 3: Cross multiply
    277,296x = 396,248 × 396,248
  4. Step 4: Simplify right side
    277,296x = 157,012,477,504
  5. Step 5: Solve for x
    x = 157,012,477,504/277,296
  6. Step 6: Final answer
    x = 566,226.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.