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Finding the Third Proportional to 233,286.75 and 510,930

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Solution

The third proportional to 233,286.75 and 510,930 is: 1,119,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,286.75 : 510,930 = 510,930 : x
  2. Step 2: Convert to fraction form
    233,286.75/510,930 = 510,930/x
  3. Step 3: Cross multiply
    233,286.75x = 510,930 × 510,930
  4. Step 4: Simplify right side
    233,286.75x = 261,049,464,900
  5. Step 5: Solve for x
    x = 261,049,464,900/233,286.75
  6. Step 6: Final answer
    x = 1,119,006.82

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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.