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Finding the Third Proportional to 210,458 and 447,204

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Solution

The third proportional to 210,458 and 447,204 is: 950,267.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,458 : 447,204 = 447,204 : x
  2. Step 2: Convert to fraction form
    210,458/447,204 = 447,204/x
  3. Step 3: Cross multiply
    210,458x = 447,204 × 447,204
  4. Step 4: Simplify right side
    210,458x = 199,991,417,616
  5. Step 5: Solve for x
    x = 199,991,417,616/210,458
  6. Step 6: Final answer
    x = 950,267.60

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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.