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Finding the Third Proportional to 434,812 and 650,218

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Solution

The third proportional to 434,812 and 650,218 is: 972,336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,812 : 650,218 = 650,218 : x
  2. Step 2: Convert to fraction form
    434,812/650,218 = 650,218/x
  3. Step 3: Cross multiply
    434,812x = 650,218 × 650,218
  4. Step 4: Simplify right side
    434,812x = 422,783,447,524
  5. Step 5: Solve for x
    x = 422,783,447,524/434,812
  6. Step 6: Final answer
    x = 972,336.20

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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.