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Finding the Third Proportional to 467,794.50 and 984,490.50

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Solution

The third proportional to 467,794.50 and 984,490.50 is: 2,071,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,794.50 : 984,490.50 = 984,490.50 : x
  2. Step 2: Convert to fraction form
    467,794.50/984,490.50 = 984,490.50/x
  3. Step 3: Cross multiply
    467,794.50x = 984,490.50 × 984,490.50
  4. Step 4: Simplify right side
    467,794.50x = 969,221,544,590.25
  5. Step 5: Solve for x
    x = 969,221,544,590.25/467,794.50
  6. Step 6: Final answer
    x = 2,071,895.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.