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Finding the Third Proportional to 457,657.50 and 984,190.50

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Solution

The third proportional to 457,657.50 and 984,190.50 is: 2,116,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,657.50 : 984,190.50 = 984,190.50 : x
  2. Step 2: Convert to fraction form
    457,657.50/984,190.50 = 984,190.50/x
  3. Step 3: Cross multiply
    457,657.50x = 984,190.50 × 984,190.50
  4. Step 4: Simplify right side
    457,657.50x = 968,630,940,290.25
  5. Step 5: Solve for x
    x = 968,630,940,290.25/457,657.50
  6. Step 6: Final answer
    x = 2,116,497.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.