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Finding the Third Proportional to 221,935 and 479,345

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Solution

The third proportional to 221,935 and 479,345 is: 1,035,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,935 : 479,345 = 479,345 : x
  2. Step 2: Convert to fraction form
    221,935/479,345 = 479,345/x
  3. Step 3: Cross multiply
    221,935x = 479,345 × 479,345
  4. Step 4: Simplify right side
    221,935x = 229,771,629,025
  5. Step 5: Solve for x
    x = 229,771,629,025/221,935
  6. Step 6: Final answer
    x = 1,035,310.47

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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.