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Finding the Third Proportional to 325,274.50 and 704,849

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Solution

The third proportional to 325,274.50 and 704,849 is: 1,527,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,274.50 : 704,849 = 704,849 : x
  2. Step 2: Convert to fraction form
    325,274.50/704,849 = 704,849/x
  3. Step 3: Cross multiply
    325,274.50x = 704,849 × 704,849
  4. Step 4: Simplify right side
    325,274.50x = 496,812,112,801
  5. Step 5: Solve for x
    x = 496,812,112,801/325,274.50
  6. Step 6: Final answer
    x = 1,527,362.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.