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Finding the Third Proportional to 332,903 and 728,075

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Solution

The third proportional to 332,903 and 728,075 is: 1,592,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,903 : 728,075 = 728,075 : x
  2. Step 2: Convert to fraction form
    332,903/728,075 = 728,075/x
  3. Step 3: Cross multiply
    332,903x = 728,075 × 728,075
  4. Step 4: Simplify right side
    332,903x = 530,093,205,625
  5. Step 5: Solve for x
    x = 530,093,205,625/332,903
  6. Step 6: Final answer
    x = 1,592,335.32

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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.