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Finding the Third Proportional to 643,263 and 943,408.50

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Solution

The third proportional to 643,263 and 943,408.50 is: 1,383,601.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,263 : 943,408.50 = 943,408.50 : x
  2. Step 2: Convert to fraction form
    643,263/943,408.50 = 943,408.50/x
  3. Step 3: Cross multiply
    643,263x = 943,408.50 × 943,408.50
  4. Step 4: Simplify right side
    643,263x = 890,019,597,872.25
  5. Step 5: Solve for x
    x = 890,019,597,872.25/643,263
  6. Step 6: Final answer
    x = 1,383,601.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.