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Finding the Third Proportional to 303,856.31 and 659,152.69

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Solution

The third proportional to 303,856.31 and 659,152.69 is: 1,429,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,856.31 : 659,152.69 = 659,152.69 : x
  2. Step 2: Convert to fraction form
    303,856.31/659,152.69 = 659,152.69/x
  3. Step 3: Cross multiply
    303,856.31x = 659,152.69 × 659,152.69
  4. Step 4: Simplify right side
    303,856.31x = 434,482,265,438.47
  5. Step 5: Solve for x
    x = 434,482,265,438.47/303,856.31
  6. Step 6: Final answer
    x = 1,429,893.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.