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Finding the Third Proportional to 207,735.75 and 459,066.38

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Solution

The third proportional to 207,735.75 and 459,066.38 is: 1,014,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,735.75 : 459,066.38 = 459,066.38 : x
  2. Step 2: Convert to fraction form
    207,735.75/459,066.38 = 459,066.38/x
  3. Step 3: Cross multiply
    207,735.75x = 459,066.38 × 459,066.38
  4. Step 4: Simplify right side
    207,735.75x = 210,741,936,655.64
  5. Step 5: Solve for x
    x = 210,741,936,655.64/207,735.75
  6. Step 6: Final answer
    x = 1,014,471.21

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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.