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Finding the Third Proportional to 396,816 and 598,802

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Solution

The third proportional to 396,816 and 598,802 is: 903,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,816 : 598,802 = 598,802 : x
  2. Step 2: Convert to fraction form
    396,816/598,802 = 598,802/x
  3. Step 3: Cross multiply
    396,816x = 598,802 × 598,802
  4. Step 4: Simplify right side
    396,816x = 358,563,835,204
  5. Step 5: Solve for x
    x = 358,563,835,204/396,816
  6. Step 6: Final answer
    x = 903,602.26

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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.