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Finding the Third Proportional to 221,148 and 476,856

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Solution

The third proportional to 221,148 and 476,856 is: 1,028,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,148 : 476,856 = 476,856 : x
  2. Step 2: Convert to fraction form
    221,148/476,856 = 476,856/x
  3. Step 3: Cross multiply
    221,148x = 476,856 × 476,856
  4. Step 4: Simplify right side
    221,148x = 227,391,644,736
  5. Step 5: Solve for x
    x = 227,391,644,736/221,148
  6. Step 6: Final answer
    x = 1,028,232.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.