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Finding the Third Proportional to 214,002 and 455,652

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Solution

The third proportional to 214,002 and 455,652 is: 970,171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,002 : 455,652 = 455,652 : x
  2. Step 2: Convert to fraction form
    214,002/455,652 = 455,652/x
  3. Step 3: Cross multiply
    214,002x = 455,652 × 455,652
  4. Step 4: Simplify right side
    214,002x = 207,618,745,104
  5. Step 5: Solve for x
    x = 207,618,745,104/214,002
  6. Step 6: Final answer
    x = 970,171.98

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.