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Finding the Third Proportional to 246,736.13 and 512,854.88

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Solution

The third proportional to 246,736.13 and 512,854.88 is: 1,065,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,736.13 : 512,854.88 = 512,854.88 : x
  2. Step 2: Convert to fraction form
    246,736.13/512,854.88 = 512,854.88/x
  3. Step 3: Cross multiply
    246,736.13x = 512,854.88 × 512,854.88
  4. Step 4: Simplify right side
    246,736.13x = 263,020,122,811.27
  5. Step 5: Solve for x
    x = 263,020,122,811.27/246,736.13
  6. Step 6: Final answer
    x = 1,065,997.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.