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Finding the Third Proportional to 233,988.38 and 479,065.88

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Solution

The third proportional to 233,988.38 and 479,065.88 is: 980,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,988.38 : 479,065.88 = 479,065.88 : x
  2. Step 2: Convert to fraction form
    233,988.38/479,065.88 = 479,065.88/x
  3. Step 3: Cross multiply
    233,988.38x = 479,065.88 × 479,065.88
  4. Step 4: Simplify right side
    233,988.38x = 229,504,112,589.52
  5. Step 5: Solve for x
    x = 229,504,112,589.52/233,988.38
  6. Step 6: Final answer
    x = 980,835.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.