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Finding the Third Proportional to 332,124 and 687,885

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Solution

The third proportional to 332,124 and 687,885 is: 1,424,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,124 : 687,885 = 687,885 : x
  2. Step 2: Convert to fraction form
    332,124/687,885 = 687,885/x
  3. Step 3: Cross multiply
    332,124x = 687,885 × 687,885
  4. Step 4: Simplify right side
    332,124x = 473,185,773,225
  5. Step 5: Solve for x
    x = 473,185,773,225/332,124
  6. Step 6: Final answer
    x = 1,424,726.23

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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.