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Finding the Third Proportional to 332,805 and 718,098

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Solution

The third proportional to 332,805 and 718,098 is: 1,549,450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,805 : 718,098 = 718,098 : x
  2. Step 2: Convert to fraction form
    332,805/718,098 = 718,098/x
  3. Step 3: Cross multiply
    332,805x = 718,098 × 718,098
  4. Step 4: Simplify right side
    332,805x = 515,664,737,604
  5. Step 5: Solve for x
    x = 515,664,737,604/332,805
  6. Step 6: Final answer
    x = 1,549,450.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.