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Finding the Third Proportional to 518,382.56 and 811,404.56

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Solution

The third proportional to 518,382.56 and 811,404.56 is: 1,270,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,382.56 : 811,404.56 = 811,404.56 : x
  2. Step 2: Convert to fraction form
    518,382.56/811,404.56 = 811,404.56/x
  3. Step 3: Cross multiply
    518,382.56x = 811,404.56 × 811,404.56
  4. Step 4: Simplify right side
    518,382.56x = 658,377,364,045.82
  5. Step 5: Solve for x
    x = 658,377,364,045.82/518,382.56
  6. Step 6: Final answer
    x = 1,270,060.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.