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Finding the Third Proportional to 428,019.75 and 640,692

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Solution

The third proportional to 428,019.75 and 640,692 is: 959,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,019.75 : 640,692 = 640,692 : x
  2. Step 2: Convert to fraction form
    428,019.75/640,692 = 640,692/x
  3. Step 3: Cross multiply
    428,019.75x = 640,692 × 640,692
  4. Step 4: Simplify right side
    428,019.75x = 410,486,238,864
  5. Step 5: Solve for x
    x = 410,486,238,864/428,019.75
  6. Step 6: Final answer
    x = 959,035.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.