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Finding the Third Proportional to 334,687.50 and 468,126

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Solution

The third proportional to 334,687.50 and 468,126 is: 654,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,687.50 : 468,126 = 468,126 : x
  2. Step 2: Convert to fraction form
    334,687.50/468,126 = 468,126/x
  3. Step 3: Cross multiply
    334,687.50x = 468,126 × 468,126
  4. Step 4: Simplify right side
    334,687.50x = 219,141,951,876
  5. Step 5: Solve for x
    x = 219,141,951,876/334,687.50
  6. Step 6: Final answer
    x = 654,765.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.