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Finding the Third Proportional to 415,833.75 and 579,372.75

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Solution

The third proportional to 415,833.75 and 579,372.75 is: 807,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,833.75 : 579,372.75 = 579,372.75 : x
  2. Step 2: Convert to fraction form
    415,833.75/579,372.75 = 579,372.75/x
  3. Step 3: Cross multiply
    415,833.75x = 579,372.75 × 579,372.75
  4. Step 4: Simplify right side
    415,833.75x = 335,672,783,442.56
  5. Step 5: Solve for x
    x = 335,672,783,442.56/415,833.75
  6. Step 6: Final answer
    x = 807,228.33

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.