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Finding the Third Proportional to 396,618 and 595,803

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Solution

The third proportional to 396,618 and 595,803 is: 895,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,618 : 595,803 = 595,803 : x
  2. Step 2: Convert to fraction form
    396,618/595,803 = 595,803/x
  3. Step 3: Cross multiply
    396,618x = 595,803 × 595,803
  4. Step 4: Simplify right side
    396,618x = 354,981,214,809
  5. Step 5: Solve for x
    x = 354,981,214,809/396,618
  6. Step 6: Final answer
    x = 895,020.43

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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.