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Finding the Third Proportional to 472,938.75 and 967,975.31

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Solution

The third proportional to 472,938.75 and 967,975.31 is: 1,981,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,938.75 : 967,975.31 = 967,975.31 : x
  2. Step 2: Convert to fraction form
    472,938.75/967,975.31 = 967,975.31/x
  3. Step 3: Cross multiply
    472,938.75x = 967,975.31 × 967,975.31
  4. Step 4: Simplify right side
    472,938.75x = 936,976,205,609.47
  5. Step 5: Solve for x
    x = 936,976,205,609.47/472,938.75
  6. Step 6: Final answer
    x = 1,981,178.76

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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.