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Finding the Third Proportional to 396,871 and 596,207

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Solution

The third proportional to 396,871 and 596,207 is: 895,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,871 : 596,207 = 596,207 : x
  2. Step 2: Convert to fraction form
    396,871/596,207 = 596,207/x
  3. Step 3: Cross multiply
    396,871x = 596,207 × 596,207
  4. Step 4: Simplify right side
    396,871x = 355,462,786,849
  5. Step 5: Solve for x
    x = 355,462,786,849/396,871
  6. Step 6: Final answer
    x = 895,663.29

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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.