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Finding the Third Proportional to 449,025.75 and 997,697.25

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Solution

The third proportional to 449,025.75 and 997,697.25 is: 2,216,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,025.75 : 997,697.25 = 997,697.25 : x
  2. Step 2: Convert to fraction form
    449,025.75/997,697.25 = 997,697.25/x
  3. Step 3: Cross multiply
    449,025.75x = 997,697.25 × 997,697.25
  4. Step 4: Simplify right side
    449,025.75x = 995,399,802,657.56
  5. Step 5: Solve for x
    x = 995,399,802,657.56/449,025.75
  6. Step 6: Final answer
    x = 2,216,798.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.