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Finding the Third Proportional to 267,314.06 and 556,743.38

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Solution

The third proportional to 267,314.06 and 556,743.38 is: 1,159,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,314.06 : 556,743.38 = 556,743.38 : x
  2. Step 2: Convert to fraction form
    267,314.06/556,743.38 = 556,743.38/x
  3. Step 3: Cross multiply
    267,314.06x = 556,743.38 × 556,743.38
  4. Step 4: Simplify right side
    267,314.06x = 309,963,185,606.39
  5. Step 5: Solve for x
    x = 309,963,185,606.39/267,314.06
  6. Step 6: Final answer
    x = 1,159,546.87

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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.