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Finding the Third Proportional to 347,802 and 465,867

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Solution

The third proportional to 347,802 and 465,867 is: 624,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,802 : 465,867 = 465,867 : x
  2. Step 2: Convert to fraction form
    347,802/465,867 = 465,867/x
  3. Step 3: Cross multiply
    347,802x = 465,867 × 465,867
  4. Step 4: Simplify right side
    347,802x = 217,032,061,689
  5. Step 5: Solve for x
    x = 217,032,061,689/347,802
  6. Step 6: Final answer
    x = 624,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.