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Finding the Third Proportional to 233,601.75 and 502,743

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Solution

The third proportional to 233,601.75 and 502,743 is: 1,081,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,601.75 : 502,743 = 502,743 : x
  2. Step 2: Convert to fraction form
    233,601.75/502,743 = 502,743/x
  3. Step 3: Cross multiply
    233,601.75x = 502,743 × 502,743
  4. Step 4: Simplify right side
    233,601.75x = 252,750,524,049
  5. Step 5: Solve for x
    x = 252,750,524,049/233,601.75
  6. Step 6: Final answer
    x = 1,081,971.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.