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Finding the Third Proportional to 257,034.38 and 556,968.38

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Solution

The third proportional to 257,034.38 and 556,968.38 is: 1,206,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,034.38 : 556,968.38 = 556,968.38 : x
  2. Step 2: Convert to fraction form
    257,034.38/556,968.38 = 556,968.38/x
  3. Step 3: Cross multiply
    257,034.38x = 556,968.38 × 556,968.38
  4. Step 4: Simplify right side
    257,034.38x = 310,213,770,750.14
  5. Step 5: Solve for x
    x = 310,213,770,750.14/257,034.38
  6. Step 6: Final answer
    x = 1,206,896.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.