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Finding the Third Proportional to 277,004 and 396,102

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Solution

The third proportional to 277,004 and 396,102 is: 566,406.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,004 : 396,102 = 396,102 : x
  2. Step 2: Convert to fraction form
    277,004/396,102 = 396,102/x
  3. Step 3: Cross multiply
    277,004x = 396,102 × 396,102
  4. Step 4: Simplify right side
    277,004x = 156,896,794,404
  5. Step 5: Solve for x
    x = 156,896,794,404/277,004
  6. Step 6: Final answer
    x = 566,406.24

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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.