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Finding the Third Proportional to 397,225.50 and 868,722

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Solution

The third proportional to 397,225.50 and 868,722 is: 1,899,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,225.50 : 868,722 = 868,722 : x
  2. Step 2: Convert to fraction form
    397,225.50/868,722 = 868,722/x
  3. Step 3: Cross multiply
    397,225.50x = 868,722 × 868,722
  4. Step 4: Simplify right side
    397,225.50x = 754,677,913,284
  5. Step 5: Solve for x
    x = 754,677,913,284/397,225.50
  6. Step 6: Final answer
    x = 1,899,872.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.