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Finding the Third Proportional to 468,675 and 699,945

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Solution

The third proportional to 468,675 and 699,945 is: 1,045,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,675 : 699,945 = 699,945 : x
  2. Step 2: Convert to fraction form
    468,675/699,945 = 699,945/x
  3. Step 3: Cross multiply
    468,675x = 699,945 × 699,945
  4. Step 4: Simplify right side
    468,675x = 489,923,003,025
  5. Step 5: Solve for x
    x = 489,923,003,025/468,675
  6. Step 6: Final answer
    x = 1,045,336.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.