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Finding the Third Proportional to 349,898 and 557,027

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Solution

The third proportional to 349,898 and 557,027 is: 886,770.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,898 : 557,027 = 557,027 : x
  2. Step 2: Convert to fraction form
    349,898/557,027 = 557,027/x
  3. Step 3: Cross multiply
    349,898x = 557,027 × 557,027
  4. Step 4: Simplify right side
    349,898x = 310,279,078,729
  5. Step 5: Solve for x
    x = 310,279,078,729/349,898
  6. Step 6: Final answer
    x = 886,770.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.