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Finding the Third Proportional to 449,552 and 956,311

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Solution

The third proportional to 449,552 and 956,311 is: 2,034,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,552 : 956,311 = 956,311 : x
  2. Step 2: Convert to fraction form
    449,552/956,311 = 956,311/x
  3. Step 3: Cross multiply
    449,552x = 956,311 × 956,311
  4. Step 4: Simplify right side
    449,552x = 914,530,728,721
  5. Step 5: Solve for x
    x = 914,530,728,721/449,552
  6. Step 6: Final answer
    x = 2,034,315.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.