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Finding the Third Proportional to 273,731.91 and 585,295.88

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Solution

The third proportional to 273,731.91 and 585,295.88 is: 1,251,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,731.91 : 585,295.88 = 585,295.88 : x
  2. Step 2: Convert to fraction form
    273,731.91/585,295.88 = 585,295.88/x
  3. Step 3: Cross multiply
    273,731.91x = 585,295.88 × 585,295.88
  4. Step 4: Simplify right side
    273,731.91x = 342,571,261,292.02
  5. Step 5: Solve for x
    x = 342,571,261,292.02/273,731.91
  6. Step 6: Final answer
    x = 1,251,484.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.