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Finding the Third Proportional to 420,772.50 and 591,846.75

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Solution

The third proportional to 420,772.50 and 591,846.75 is: 832,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,772.50 : 591,846.75 = 591,846.75 : x
  2. Step 2: Convert to fraction form
    420,772.50/591,846.75 = 591,846.75/x
  3. Step 3: Cross multiply
    420,772.50x = 591,846.75 × 591,846.75
  4. Step 4: Simplify right side
    420,772.50x = 350,282,575,485.56
  5. Step 5: Solve for x
    x = 350,282,575,485.56/420,772.50
  6. Step 6: Final answer
    x = 832,474.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.