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Finding the Third Proportional to 332,109 and 687,849.75

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Solution

The third proportional to 332,109 and 687,849.75 is: 1,424,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,109 : 687,849.75 = 687,849.75 : x
  2. Step 2: Convert to fraction form
    332,109/687,849.75 = 687,849.75/x
  3. Step 3: Cross multiply
    332,109x = 687,849.75 × 687,849.75
  4. Step 4: Simplify right side
    332,109x = 473,137,278,575.06
  5. Step 5: Solve for x
    x = 473,137,278,575.06/332,109
  6. Step 6: Final answer
    x = 1,424,644.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.