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Finding the Third Proportional to 247,237.31 and 507,581.44

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Solution

The third proportional to 247,237.31 and 507,581.44 is: 1,042,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,237.31 : 507,581.44 = 507,581.44 : x
  2. Step 2: Convert to fraction form
    247,237.31/507,581.44 = 507,581.44/x
  3. Step 3: Cross multiply
    247,237.31x = 507,581.44 × 507,581.44
  4. Step 4: Simplify right side
    247,237.31x = 257,638,915,694.57
  5. Step 5: Solve for x
    x = 257,638,915,694.57/247,237.31
  6. Step 6: Final answer
    x = 1,042,071.33

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Why These Related Problems?

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