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Finding the Third Proportional to 238,599 and 514,558.75

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Solution

The third proportional to 238,599 and 514,558.75 is: 1,109,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,599 : 514,558.75 = 514,558.75 : x
  2. Step 2: Convert to fraction form
    238,599/514,558.75 = 514,558.75/x
  3. Step 3: Cross multiply
    238,599x = 514,558.75 × 514,558.75
  4. Step 4: Simplify right side
    238,599x = 264,770,707,201.56
  5. Step 5: Solve for x
    x = 264,770,707,201.56/238,599
  6. Step 6: Final answer
    x = 1,109,689.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.