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Finding the Third Proportional to 210,462 and 447,212

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Solution

The third proportional to 210,462 and 447,212 is: 950,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,462 : 447,212 = 447,212 : x
  2. Step 2: Convert to fraction form
    210,462/447,212 = 447,212/x
  3. Step 3: Cross multiply
    210,462x = 447,212 × 447,212
  4. Step 4: Simplify right side
    210,462x = 199,998,572,944
  5. Step 5: Solve for x
    x = 199,998,572,944/210,462
  6. Step 6: Final answer
    x = 950,283.53

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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.