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Finding the Third Proportional to 332,102 and 687,834

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Solution

The third proportional to 332,102 and 687,834 is: 1,424,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,102 : 687,834 = 687,834 : x
  2. Step 2: Convert to fraction form
    332,102/687,834 = 687,834/x
  3. Step 3: Cross multiply
    332,102x = 687,834 × 687,834
  4. Step 4: Simplify right side
    332,102x = 473,115,611,556
  5. Step 5: Solve for x
    x = 473,115,611,556/332,102
  6. Step 6: Final answer
    x = 1,424,609.34

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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.