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Finding the Third Proportional to 396,812.25 and 598,795.88

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Solution

The third proportional to 396,812.25 and 598,795.88 is: 903,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,812.25 : 598,795.88 = 598,795.88 : x
  2. Step 2: Convert to fraction form
    396,812.25/598,795.88 = 598,795.88/x
  3. Step 3: Cross multiply
    396,812.25x = 598,795.88 × 598,795.88
  4. Step 4: Simplify right side
    396,812.25x = 358,556,499,917.02
  5. Step 5: Solve for x
    x = 358,556,499,917.02/396,812.25
  6. Step 6: Final answer
    x = 903,592.32

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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.