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Finding the Third Proportional to 468,200.25 and 994,720.50

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Solution

The third proportional to 468,200.25 and 994,720.50 is: 2,113,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,200.25 : 994,720.50 = 994,720.50 : x
  2. Step 2: Convert to fraction form
    468,200.25/994,720.50 = 994,720.50/x
  3. Step 3: Cross multiply
    468,200.25x = 994,720.50 × 994,720.50
  4. Step 4: Simplify right side
    468,200.25x = 989,468,873,120.25
  5. Step 5: Solve for x
    x = 989,468,873,120.25/468,200.25
  6. Step 6: Final answer
    x = 2,113,345.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.