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Finding the Third Proportional to 332,337 and 724,824

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Solution

The third proportional to 332,337 and 724,824 is: 1,580,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,337 : 724,824 = 724,824 : x
  2. Step 2: Convert to fraction form
    332,337/724,824 = 724,824/x
  3. Step 3: Cross multiply
    332,337x = 724,824 × 724,824
  4. Step 4: Simplify right side
    332,337x = 525,369,830,976
  5. Step 5: Solve for x
    x = 525,369,830,976/332,337
  6. Step 6: Final answer
    x = 1,580,834.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.