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Finding the Third Proportional to 396,948 and 595,494

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Solution

The third proportional to 396,948 and 595,494 is: 893,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,948 : 595,494 = 595,494 : x
  2. Step 2: Convert to fraction form
    396,948/595,494 = 595,494/x
  3. Step 3: Cross multiply
    396,948x = 595,494 × 595,494
  4. Step 4: Simplify right side
    396,948x = 354,613,104,036
  5. Step 5: Solve for x
    x = 354,613,104,036/396,948
  6. Step 6: Final answer
    x = 893,349.01

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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.