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Finding the Third Proportional to 636,728 and 963,288

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Solution

The third proportional to 636,728 and 963,288 is: 1,457,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,728 : 963,288 = 963,288 : x
  2. Step 2: Convert to fraction form
    636,728/963,288 = 963,288/x
  3. Step 3: Cross multiply
    636,728x = 963,288 × 963,288
  4. Step 4: Simplify right side
    636,728x = 927,923,770,944
  5. Step 5: Solve for x
    x = 927,923,770,944/636,728
  6. Step 6: Final answer
    x = 1,457,331.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.