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Finding the Third Proportional to 312,034.50 and 638,853.75

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Solution

The third proportional to 312,034.50 and 638,853.75 is: 1,307,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,034.50 : 638,853.75 = 638,853.75 : x
  2. Step 2: Convert to fraction form
    312,034.50/638,853.75 = 638,853.75/x
  3. Step 3: Cross multiply
    312,034.50x = 638,853.75 × 638,853.75
  4. Step 4: Simplify right side
    312,034.50x = 408,134,113,889.06
  5. Step 5: Solve for x
    x = 408,134,113,889.06/312,034.50
  6. Step 6: Final answer
    x = 1,307,977.53

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.