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Finding the Third Proportional to 396,822 and 598,811

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Solution

The third proportional to 396,822 and 598,811 is: 903,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,822 : 598,811 = 598,811 : x
  2. Step 2: Convert to fraction form
    396,822/598,811 = 598,811/x
  3. Step 3: Cross multiply
    396,822x = 598,811 × 598,811
  4. Step 4: Simplify right side
    396,822x = 358,574,613,721
  5. Step 5: Solve for x
    x = 358,574,613,721/396,822
  6. Step 6: Final answer
    x = 903,615.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.