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Finding the Third Proportional to 396,906 and 599,046

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Solution

The third proportional to 396,906 and 599,046 is: 904,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,906 : 599,046 = 599,046 : x
  2. Step 2: Convert to fraction form
    396,906/599,046 = 599,046/x
  3. Step 3: Cross multiply
    396,906x = 599,046 × 599,046
  4. Step 4: Simplify right side
    396,906x = 358,856,110,116
  5. Step 5: Solve for x
    x = 358,856,110,116/396,906
  6. Step 6: Final answer
    x = 904,133.75

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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.