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Finding the Third Proportional to 232,052 and 508,936

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Solution

The third proportional to 232,052 and 508,936 is: 1,116,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,052 : 508,936 = 508,936 : x
  2. Step 2: Convert to fraction form
    232,052/508,936 = 508,936/x
  3. Step 3: Cross multiply
    232,052x = 508,936 × 508,936
  4. Step 4: Simplify right side
    232,052x = 259,015,852,096
  5. Step 5: Solve for x
    x = 259,015,852,096/232,052
  6. Step 6: Final answer
    x = 1,116,197.46

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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.