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Finding the Third Proportional to 233,961.75 and 479,007

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Solution

The third proportional to 233,961.75 and 479,007 is: 980,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,961.75 : 479,007 = 479,007 : x
  2. Step 2: Convert to fraction form
    233,961.75/479,007 = 479,007/x
  3. Step 3: Cross multiply
    233,961.75x = 479,007 × 479,007
  4. Step 4: Simplify right side
    233,961.75x = 229,447,706,049
  5. Step 5: Solve for x
    x = 229,447,706,049/233,961.75
  6. Step 6: Final answer
    x = 980,706.06

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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.