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Finding the Third Proportional to 335,577 and 737,466

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Solution

The third proportional to 335,577 and 737,466 is: 1,620,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,577 : 737,466 = 737,466 : x
  2. Step 2: Convert to fraction form
    335,577/737,466 = 737,466/x
  3. Step 3: Cross multiply
    335,577x = 737,466 × 737,466
  4. Step 4: Simplify right side
    335,577x = 543,856,101,156
  5. Step 5: Solve for x
    x = 543,856,101,156/335,577
  6. Step 6: Final answer
    x = 1,620,659.64

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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.