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Finding the Third Proportional to 396,832.50 and 598,829.63

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Solution

The third proportional to 396,832.50 and 598,829.63 is: 903,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,832.50 : 598,829.63 = 598,829.63 : x
  2. Step 2: Convert to fraction form
    396,832.50/598,829.63 = 598,829.63/x
  3. Step 3: Cross multiply
    396,832.50x = 598,829.63 × 598,829.63
  4. Step 4: Simplify right side
    396,832.50x = 358,596,919,777.64
  5. Step 5: Solve for x
    x = 358,596,919,777.64/396,832.50
  6. Step 6: Final answer
    x = 903,648.06

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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.