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Finding the Third Proportional to 394,205.50 and 864,713

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Solution

The third proportional to 394,205.50 and 864,713 is: 1,896,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,205.50 : 864,713 = 864,713 : x
  2. Step 2: Convert to fraction form
    394,205.50/864,713 = 864,713/x
  3. Step 3: Cross multiply
    394,205.50x = 864,713 × 864,713
  4. Step 4: Simplify right side
    394,205.50x = 747,728,572,369
  5. Step 5: Solve for x
    x = 747,728,572,369/394,205.50
  6. Step 6: Final answer
    x = 1,896,798.93

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Why These Related Problems?

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