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Finding the Third Proportional to 244,204 and 507,116

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Solution

The third proportional to 244,204 and 507,116 is: 1,053,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,204 : 507,116 = 507,116 : x
  2. Step 2: Convert to fraction form
    244,204/507,116 = 507,116/x
  3. Step 3: Cross multiply
    244,204x = 507,116 × 507,116
  4. Step 4: Simplify right side
    244,204x = 257,166,637,456
  5. Step 5: Solve for x
    x = 257,166,637,456/244,204
  6. Step 6: Final answer
    x = 1,053,081.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.