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Finding the Third Proportional to 236,788.31 and 523,410.61

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Solution

The third proportional to 236,788.31 and 523,410.61 is: 1,156,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,788.31 : 523,410.61 = 523,410.61 : x
  2. Step 2: Convert to fraction form
    236,788.31/523,410.61 = 523,410.61/x
  3. Step 3: Cross multiply
    236,788.31x = 523,410.61 × 523,410.61
  4. Step 4: Simplify right side
    236,788.31x = 273,958,666,006.31
  5. Step 5: Solve for x
    x = 273,958,666,006.31/236,788.31
  6. Step 6: Final answer
    x = 1,156,977.15

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.