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Finding the Third Proportional to 285,286 and 444,286

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Solution

The third proportional to 285,286 and 444,286 is: 691,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,286 : 444,286 = 444,286 : x
  2. Step 2: Convert to fraction form
    285,286/444,286 = 444,286/x
  3. Step 3: Cross multiply
    285,286x = 444,286 × 444,286
  4. Step 4: Simplify right side
    285,286x = 197,390,049,796
  5. Step 5: Solve for x
    x = 197,390,049,796/285,286
  6. Step 6: Final answer
    x = 691,902.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.