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Finding the Third Proportional to 332,298 and 731,052

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Solution

The third proportional to 332,298 and 731,052 is: 1,608,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,298 : 731,052 = 731,052 : x
  2. Step 2: Convert to fraction form
    332,298/731,052 = 731,052/x
  3. Step 3: Cross multiply
    332,298x = 731,052 × 731,052
  4. Step 4: Simplify right side
    332,298x = 534,437,026,704
  5. Step 5: Solve for x
    x = 534,437,026,704/332,298
  6. Step 6: Final answer
    x = 1,608,306.48

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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.