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Finding the Third Proportional to 633,906 and 863,379

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Solution

The third proportional to 633,906 and 863,379 is: 1,175,920.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,906 : 863,379 = 863,379 : x
  2. Step 2: Convert to fraction form
    633,906/863,379 = 863,379/x
  3. Step 3: Cross multiply
    633,906x = 863,379 × 863,379
  4. Step 4: Simplify right side
    633,906x = 745,423,297,641
  5. Step 5: Solve for x
    x = 745,423,297,641/633,906
  6. Step 6: Final answer
    x = 1,175,920.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.