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Finding the Third Proportional to 332,294 and 728,923

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Solution

The third proportional to 332,294 and 728,923 is: 1,598,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,294 : 728,923 = 728,923 : x
  2. Step 2: Convert to fraction form
    332,294/728,923 = 728,923/x
  3. Step 3: Cross multiply
    332,294x = 728,923 × 728,923
  4. Step 4: Simplify right side
    332,294x = 531,328,739,929
  5. Step 5: Solve for x
    x = 531,328,739,929/332,294
  6. Step 6: Final answer
    x = 1,598,971.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.