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Finding the Third Proportional to 214,949 and 455,500

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Solution

The third proportional to 214,949 and 455,500 is: 965,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,949 : 455,500 = 455,500 : x
  2. Step 2: Convert to fraction form
    214,949/455,500 = 455,500/x
  3. Step 3: Cross multiply
    214,949x = 455,500 × 455,500
  4. Step 4: Simplify right side
    214,949x = 207,480,250,000
  5. Step 5: Solve for x
    x = 207,480,250,000/214,949
  6. Step 6: Final answer
    x = 965,253.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.