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Finding the Third Proportional to 232,244 and 508,744

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Solution

The third proportional to 232,244 and 508,744 is: 1,114,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,244 : 508,744 = 508,744 : x
  2. Step 2: Convert to fraction form
    232,244/508,744 = 508,744/x
  3. Step 3: Cross multiply
    232,244x = 508,744 × 508,744
  4. Step 4: Simplify right side
    232,244x = 258,820,457,536
  5. Step 5: Solve for x
    x = 258,820,457,536/232,244
  6. Step 6: Final answer
    x = 1,114,433.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.