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Finding the Third Proportional to 397,274.63 and 815,487.75

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Solution

The third proportional to 397,274.63 and 815,487.75 is: 1,673,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,274.63 : 815,487.75 = 815,487.75 : x
  2. Step 2: Convert to fraction form
    397,274.63/815,487.75 = 815,487.75/x
  3. Step 3: Cross multiply
    397,274.63x = 815,487.75 × 815,487.75
  4. Step 4: Simplify right side
    397,274.63x = 665,020,270,400.06
  5. Step 5: Solve for x
    x = 665,020,270,400.06/397,274.63
  6. Step 6: Final answer
    x = 1,673,956.07

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.