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Finding the Third Proportional to 233,720.44 and 502,355.25

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Solution

The third proportional to 233,720.44 and 502,355.25 is: 1,079,754.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,720.44 : 502,355.25 = 502,355.25 : x
  2. Step 2: Convert to fraction form
    233,720.44/502,355.25 = 502,355.25/x
  3. Step 3: Cross multiply
    233,720.44x = 502,355.25 × 502,355.25
  4. Step 4: Simplify right side
    233,720.44x = 252,360,797,202.56
  5. Step 5: Solve for x
    x = 252,360,797,202.56/233,720.44
  6. Step 6: Final answer
    x = 1,079,754.94

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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.