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Finding the Third Proportional to 365,551.31 and 534,789.56

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Solution

The third proportional to 365,551.31 and 534,789.56 is: 782,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,551.31 : 534,789.56 = 534,789.56 : x
  2. Step 2: Convert to fraction form
    365,551.31/534,789.56 = 534,789.56/x
  3. Step 3: Cross multiply
    365,551.31x = 534,789.56 × 534,789.56
  4. Step 4: Simplify right side
    365,551.31x = 285,999,876,158.94
  5. Step 5: Solve for x
    x = 285,999,876,158.94/365,551.31
  6. Step 6: Final answer
    x = 782,379.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.