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Finding the Third Proportional to 335,954 and 738,292

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Solution

The third proportional to 335,954 and 738,292 is: 1,622,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,954 : 738,292 = 738,292 : x
  2. Step 2: Convert to fraction form
    335,954/738,292 = 738,292/x
  3. Step 3: Cross multiply
    335,954x = 738,292 × 738,292
  4. Step 4: Simplify right side
    335,954x = 545,075,077,264
  5. Step 5: Solve for x
    x = 545,075,077,264/335,954
  6. Step 6: Final answer
    x = 1,622,469.38

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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.