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Finding the Third Proportional to 332,289 and 731,009

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Solution

The third proportional to 332,289 and 731,009 is: 1,608,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,289 : 731,009 = 731,009 : x
  2. Step 2: Convert to fraction form
    332,289/731,009 = 731,009/x
  3. Step 3: Cross multiply
    332,289x = 731,009 × 731,009
  4. Step 4: Simplify right side
    332,289x = 534,374,158,081
  5. Step 5: Solve for x
    x = 534,374,158,081/332,289
  6. Step 6: Final answer
    x = 1,608,160.84

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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.