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Finding the Third Proportional to 225,400 and 475,952

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Solution

The third proportional to 225,400 and 475,952 is: 1,005,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,400 : 475,952 = 475,952 : x
  2. Step 2: Convert to fraction form
    225,400/475,952 = 475,952/x
  3. Step 3: Cross multiply
    225,400x = 475,952 × 475,952
  4. Step 4: Simplify right side
    225,400x = 226,530,306,304
  5. Step 5: Solve for x
    x = 226,530,306,304/225,400
  6. Step 6: Final answer
    x = 1,005,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.