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Finding the Third Proportional to 233,250.25 and 491,402.75

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Solution

The third proportional to 233,250.25 and 491,402.75 is: 1,035,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,250.25 : 491,402.75 = 491,402.75 : x
  2. Step 2: Convert to fraction form
    233,250.25/491,402.75 = 491,402.75/x
  3. Step 3: Cross multiply
    233,250.25x = 491,402.75 × 491,402.75
  4. Step 4: Simplify right side
    233,250.25x = 241,476,662,707.56
  5. Step 5: Solve for x
    x = 241,476,662,707.56/233,250.25
  6. Step 6: Final answer
    x = 1,035,268.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.