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Finding the Third Proportional to 233,531.58 and 502,879.78

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Solution

The third proportional to 233,531.58 and 502,879.78 is: 1,082,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,531.58 : 502,879.78 = 502,879.78 : x
  2. Step 2: Convert to fraction form
    233,531.58/502,879.78 = 502,879.78/x
  3. Step 3: Cross multiply
    233,531.58x = 502,879.78 × 502,879.78
  4. Step 4: Simplify right side
    233,531.58x = 252,888,074,390.05
  5. Step 5: Solve for x
    x = 252,888,074,390.05/233,531.58
  6. Step 6: Final answer
    x = 1,082,885.99

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