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Finding the Third Proportional to 396,886.50 and 599,022

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Solution

The third proportional to 396,886.50 and 599,022 is: 904,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,886.50 : 599,022 = 599,022 : x
  2. Step 2: Convert to fraction form
    396,886.50/599,022 = 599,022/x
  3. Step 3: Cross multiply
    396,886.50x = 599,022 × 599,022
  4. Step 4: Simplify right side
    396,886.50x = 358,827,356,484
  5. Step 5: Solve for x
    x = 358,827,356,484/396,886.50
  6. Step 6: Final answer
    x = 904,105.72

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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.