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Finding the Third Proportional to 428,309 and 921,209.50

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Solution

The third proportional to 428,309 and 921,209.50 is: 1,981,342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,309 : 921,209.50 = 921,209.50 : x
  2. Step 2: Convert to fraction form
    428,309/921,209.50 = 921,209.50/x
  3. Step 3: Cross multiply
    428,309x = 921,209.50 × 921,209.50
  4. Step 4: Simplify right side
    428,309x = 848,626,942,890.25
  5. Step 5: Solve for x
    x = 848,626,942,890.25/428,309
  6. Step 6: Final answer
    x = 1,981,342.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.