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Finding the Third Proportional to 349,743 and 627,504

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Solution

The third proportional to 349,743 and 627,504 is: 1,125,858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,743 : 627,504 = 627,504 : x
  2. Step 2: Convert to fraction form
    349,743/627,504 = 627,504/x
  3. Step 3: Cross multiply
    349,743x = 627,504 × 627,504
  4. Step 4: Simplify right side
    349,743x = 393,761,270,016
  5. Step 5: Solve for x
    x = 393,761,270,016/349,743
  6. Step 6: Final answer
    x = 1,125,858.90

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.