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Finding the Third Proportional to 232,950 and 509,519

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Solution

The third proportional to 232,950 and 509,519 is: 1,114,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,950 : 509,519 = 509,519 : x
  2. Step 2: Convert to fraction form
    232,950/509,519 = 509,519/x
  3. Step 3: Cross multiply
    232,950x = 509,519 × 509,519
  4. Step 4: Simplify right side
    232,950x = 259,609,611,361
  5. Step 5: Solve for x
    x = 259,609,611,361/232,950
  6. Step 6: Final answer
    x = 1,114,443.49

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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.