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Finding the Third Proportional to 332,938 and 733,738

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Solution

The third proportional to 332,938 and 733,738 is: 1,617,032.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,938 : 733,738 = 733,738 : x
  2. Step 2: Convert to fraction form
    332,938/733,738 = 733,738/x
  3. Step 3: Cross multiply
    332,938x = 733,738 × 733,738
  4. Step 4: Simplify right side
    332,938x = 538,371,452,644
  5. Step 5: Solve for x
    x = 538,371,452,644/332,938
  6. Step 6: Final answer
    x = 1,617,032.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.