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Finding the Third Proportional to 211,468.50 and 499,025.25

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Solution

The third proportional to 211,468.50 and 499,025.25 is: 1,177,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468.50 : 499,025.25 = 499,025.25 : x
  2. Step 2: Convert to fraction form
    211,468.50/499,025.25 = 499,025.25/x
  3. Step 3: Cross multiply
    211,468.50x = 499,025.25 × 499,025.25
  4. Step 4: Simplify right side
    211,468.50x = 249,026,200,137.56
  5. Step 5: Solve for x
    x = 249,026,200,137.56/211,468.50
  6. Step 6: Final answer
    x = 1,177,604.23

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.