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Finding the Third Proportional to 396,902 and 596,246

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Solution

The third proportional to 396,902 and 596,246 is: 895,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,902 : 596,246 = 596,246 : x
  2. Step 2: Convert to fraction form
    396,902/596,246 = 596,246/x
  3. Step 3: Cross multiply
    396,902x = 596,246 × 596,246
  4. Step 4: Simplify right side
    396,902x = 355,509,292,516
  5. Step 5: Solve for x
    x = 355,509,292,516/396,902
  6. Step 6: Final answer
    x = 895,710.51

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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.