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Finding the Third Proportional to 396,726 and 595,089

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Solution

The third proportional to 396,726 and 595,089 is: 892,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,726 : 595,089 = 595,089 : x
  2. Step 2: Convert to fraction form
    396,726/595,089 = 595,089/x
  3. Step 3: Cross multiply
    396,726x = 595,089 × 595,089
  4. Step 4: Simplify right side
    396,726x = 354,130,917,921
  5. Step 5: Solve for x
    x = 354,130,917,921/396,726
  6. Step 6: Final answer
    x = 892,633.50

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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.