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Finding the Third Proportional to 232,956 and 509,530

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Solution

The third proportional to 232,956 and 509,530 is: 1,114,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,956 : 509,530 = 509,530 : x
  2. Step 2: Convert to fraction form
    232,956/509,530 = 509,530/x
  3. Step 3: Cross multiply
    232,956x = 509,530 × 509,530
  4. Step 4: Simplify right side
    232,956x = 259,620,820,900
  5. Step 5: Solve for x
    x = 259,620,820,900/232,956
  6. Step 6: Final answer
    x = 1,114,462.91

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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.