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Finding the Third Proportional to 251,313.38 and 509,916.75

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Solution

The third proportional to 251,313.38 and 509,916.75 is: 1,034,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,313.38 : 509,916.75 = 509,916.75 : x
  2. Step 2: Convert to fraction form
    251,313.38/509,916.75 = 509,916.75/x
  3. Step 3: Cross multiply
    251,313.38x = 509,916.75 × 509,916.75
  4. Step 4: Simplify right side
    251,313.38x = 260,015,091,930.56
  5. Step 5: Solve for x
    x = 260,015,091,930.56/251,313.38
  6. Step 6: Final answer
    x = 1,034,624.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.