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Finding the Third Proportional to 437,911.50 and 941,296.50

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Solution

The third proportional to 437,911.50 and 941,296.50 is: 2,023,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,911.50 : 941,296.50 = 941,296.50 : x
  2. Step 2: Convert to fraction form
    437,911.50/941,296.50 = 941,296.50/x
  3. Step 3: Cross multiply
    437,911.50x = 941,296.50 × 941,296.50
  4. Step 4: Simplify right side
    437,911.50x = 886,039,100,912.25
  5. Step 5: Solve for x
    x = 886,039,100,912.25/437,911.50
  6. Step 6: Final answer
    x = 2,023,329.15

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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.