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Finding the Third Proportional to 207,735.75 and 459,067.50

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Solution

The third proportional to 207,735.75 and 459,067.50 is: 1,014,476.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,735.75 : 459,067.50 = 459,067.50 : x
  2. Step 2: Convert to fraction form
    207,735.75/459,067.50 = 459,067.50/x
  3. Step 3: Cross multiply
    207,735.75x = 459,067.50 × 459,067.50
  4. Step 4: Simplify right side
    207,735.75x = 210,742,969,556.25
  5. Step 5: Solve for x
    x = 210,742,969,556.25/207,735.75
  6. Step 6: Final answer
    x = 1,014,476.18

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.