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Finding the Third Proportional to 362,577 and 796,938

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Solution

The third proportional to 362,577 and 796,938 is: 1,751,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,577 : 796,938 = 796,938 : x
  2. Step 2: Convert to fraction form
    362,577/796,938 = 796,938/x
  3. Step 3: Cross multiply
    362,577x = 796,938 × 796,938
  4. Step 4: Simplify right side
    362,577x = 635,110,175,844
  5. Step 5: Solve for x
    x = 635,110,175,844/362,577
  6. Step 6: Final answer
    x = 1,751,656.00

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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.