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Finding the Third Proportional to 397,201.50 and 874,572.75

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Solution

The third proportional to 397,201.50 and 874,572.75 is: 1,925,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,201.50 : 874,572.75 = 874,572.75 : x
  2. Step 2: Convert to fraction form
    397,201.50/874,572.75 = 874,572.75/x
  3. Step 3: Cross multiply
    397,201.50x = 874,572.75 × 874,572.75
  4. Step 4: Simplify right side
    397,201.50x = 764,877,495,042.56
  5. Step 5: Solve for x
    x = 764,877,495,042.56/397,201.50
  6. Step 6: Final answer
    x = 1,925,666.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.