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Finding the Third Proportional to 428,859.50 and 914,718

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Solution

The third proportional to 428,859.50 and 914,718 is: 1,951,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859.50 : 914,718 = 914,718 : x
  2. Step 2: Convert to fraction form
    428,859.50/914,718 = 914,718/x
  3. Step 3: Cross multiply
    428,859.50x = 914,718 × 914,718
  4. Step 4: Simplify right side
    428,859.50x = 836,709,019,524
  5. Step 5: Solve for x
    x = 836,709,019,524/428,859.50
  6. Step 6: Final answer
    x = 1,951,009.64

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.