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Finding the Third Proportional to 285,282 and 398,812

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Solution

The third proportional to 285,282 and 398,812 is: 557,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,282 : 398,812 = 398,812 : x
  2. Step 2: Convert to fraction form
    285,282/398,812 = 398,812/x
  3. Step 3: Cross multiply
    285,282x = 398,812 × 398,812
  4. Step 4: Simplify right side
    285,282x = 159,051,011,344
  5. Step 5: Solve for x
    x = 159,051,011,344/285,282
  6. Step 6: Final answer
    x = 557,522.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.