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Finding the Third Proportional to 226,290 and 446,870

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Solution

The third proportional to 226,290 and 446,870 is: 882,464.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,290 : 446,870 = 446,870 : x
  2. Step 2: Convert to fraction form
    226,290/446,870 = 446,870/x
  3. Step 3: Cross multiply
    226,290x = 446,870 × 446,870
  4. Step 4: Simplify right side
    226,290x = 199,692,796,900
  5. Step 5: Solve for x
    x = 199,692,796,900/226,290
  6. Step 6: Final answer
    x = 882,464.08

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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.