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Finding the Third Proportional to 221,016 and 482,514

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Solution

The third proportional to 221,016 and 482,514 is: 1,053,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,016 : 482,514 = 482,514 : x
  2. Step 2: Convert to fraction form
    221,016/482,514 = 482,514/x
  3. Step 3: Cross multiply
    221,016x = 482,514 × 482,514
  4. Step 4: Simplify right side
    221,016x = 232,819,760,196
  5. Step 5: Solve for x
    x = 232,819,760,196/221,016
  6. Step 6: Final answer
    x = 1,053,406.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.