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Finding the Third Proportional to 650,600 and 984,972

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Solution

The third proportional to 650,600 and 984,972 is: 1,491,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,600 : 984,972 = 984,972 : x
  2. Step 2: Convert to fraction form
    650,600/984,972 = 984,972/x
  3. Step 3: Cross multiply
    650,600x = 984,972 × 984,972
  4. Step 4: Simplify right side
    650,600x = 970,169,840,784
  5. Step 5: Solve for x
    x = 970,169,840,784/650,600
  6. Step 6: Final answer
    x = 1,491,192.50

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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.