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Finding the Third Proportional to 643,563.98 and 873,052.31

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Solution

The third proportional to 643,563.98 and 873,052.31 is: 1,184,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,563.98 : 873,052.31 = 873,052.31 : x
  2. Step 2: Convert to fraction form
    643,563.98/873,052.31 = 873,052.31/x
  3. Step 3: Cross multiply
    643,563.98x = 873,052.31 × 873,052.31
  4. Step 4: Simplify right side
    643,563.98x = 762,220,340,361.60
  5. Step 5: Solve for x
    x = 762,220,340,361.60/643,563.98
  6. Step 6: Final answer
    x = 1,184,373.83

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.