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Finding the Third Proportional to 279,776 and 422,002

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Solution

The third proportional to 279,776 and 422,002 is: 636,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,776 : 422,002 = 422,002 : x
  2. Step 2: Convert to fraction form
    279,776/422,002 = 422,002/x
  3. Step 3: Cross multiply
    279,776x = 422,002 × 422,002
  4. Step 4: Simplify right side
    279,776x = 178,085,688,004
  5. Step 5: Solve for x
    x = 178,085,688,004/279,776
  6. Step 6: Final answer
    x = 636,529.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.