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Finding the Third Proportional to 650,604 and 984,978

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Solution

The third proportional to 650,604 and 984,978 is: 1,491,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,604 : 984,978 = 984,978 : x
  2. Step 2: Convert to fraction form
    650,604/984,978 = 984,978/x
  3. Step 3: Cross multiply
    650,604x = 984,978 × 984,978
  4. Step 4: Simplify right side
    650,604x = 970,181,660,484
  5. Step 5: Solve for x
    x = 970,181,660,484/650,604
  6. Step 6: Final answer
    x = 1,491,201.50

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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.