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Finding the Third Proportional to 344,367 and 744,075

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Solution

The third proportional to 344,367 and 744,075 is: 1,607,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,367 : 744,075 = 744,075 : x
  2. Step 2: Convert to fraction form
    344,367/744,075 = 744,075/x
  3. Step 3: Cross multiply
    344,367x = 744,075 × 744,075
  4. Step 4: Simplify right side
    344,367x = 553,647,605,625
  5. Step 5: Solve for x
    x = 553,647,605,625/344,367
  6. Step 6: Final answer
    x = 1,607,725.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.