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Finding the Third Proportional to 396,029.25 and 594,054

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Solution

The third proportional to 396,029.25 and 594,054 is: 891,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,029.25 : 594,054 = 594,054 : x
  2. Step 2: Convert to fraction form
    396,029.25/594,054 = 594,054/x
  3. Step 3: Cross multiply
    396,029.25x = 594,054 × 594,054
  4. Step 4: Simplify right side
    396,029.25x = 352,900,154,916
  5. Step 5: Solve for x
    x = 352,900,154,916/396,029.25
  6. Step 6: Final answer
    x = 891,096.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.