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Finding the Third Proportional to 232,252 and 508,770

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Solution

The third proportional to 232,252 and 508,770 is: 1,114,508.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,252 : 508,770 = 508,770 : x
  2. Step 2: Convert to fraction form
    232,252/508,770 = 508,770/x
  3. Step 3: Cross multiply
    232,252x = 508,770 × 508,770
  4. Step 4: Simplify right side
    232,252x = 258,846,912,900
  5. Step 5: Solve for x
    x = 258,846,912,900/232,252
  6. Step 6: Final answer
    x = 1,114,508.86

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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.