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Finding the Third Proportional to 396,820 and 598,808

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Solution

The third proportional to 396,820 and 598,808 is: 903,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,820 : 598,808 = 598,808 : x
  2. Step 2: Convert to fraction form
    396,820/598,808 = 598,808/x
  3. Step 3: Cross multiply
    396,820x = 598,808 × 598,808
  4. Step 4: Simplify right side
    396,820x = 358,571,020,864
  5. Step 5: Solve for x
    x = 358,571,020,864/396,820
  6. Step 6: Final answer
    x = 903,611.26

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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.