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Finding the Third Proportional to 214,494 and 423,600

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Solution

The third proportional to 214,494 and 423,600 is: 836,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,494 : 423,600 = 423,600 : x
  2. Step 2: Convert to fraction form
    214,494/423,600 = 423,600/x
  3. Step 3: Cross multiply
    214,494x = 423,600 × 423,600
  4. Step 4: Simplify right side
    214,494x = 179,436,960,000
  5. Step 5: Solve for x
    x = 179,436,960,000/214,494
  6. Step 6: Final answer
    x = 836,559.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.