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Finding the Third Proportional to 396,814 and 596,124

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Solution

The third proportional to 396,814 and 596,124 is: 895,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,814 : 596,124 = 596,124 : x
  2. Step 2: Convert to fraction form
    396,814/596,124 = 596,124/x
  3. Step 3: Cross multiply
    396,814x = 596,124 × 596,124
  4. Step 4: Simplify right side
    396,814x = 355,363,823,376
  5. Step 5: Solve for x
    x = 355,363,823,376/396,814
  6. Step 6: Final answer
    x = 895,542.55

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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.