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Finding the Third Proportional to 232,686 and 508,950

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Solution

The third proportional to 232,686 and 508,950 is: 1,113,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,686 : 508,950 = 508,950 : x
  2. Step 2: Convert to fraction form
    232,686/508,950 = 508,950/x
  3. Step 3: Cross multiply
    232,686x = 508,950 × 508,950
  4. Step 4: Simplify right side
    232,686x = 259,030,102,500
  5. Step 5: Solve for x
    x = 259,030,102,500/232,686
  6. Step 6: Final answer
    x = 1,113,217.39

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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.