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Finding the Third Proportional to 327,406.50 and 704,871

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Solution

The third proportional to 327,406.50 and 704,871 is: 1,517,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,406.50 : 704,871 = 704,871 : x
  2. Step 2: Convert to fraction form
    327,406.50/704,871 = 704,871/x
  3. Step 3: Cross multiply
    327,406.50x = 704,871 × 704,871
  4. Step 4: Simplify right side
    327,406.50x = 496,843,126,641
  5. Step 5: Solve for x
    x = 496,843,126,641/327,406.50
  6. Step 6: Final answer
    x = 1,517,511.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.