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Finding the Third Proportional to 598,907 and 876,067

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Solution

The third proportional to 598,907 and 876,067 is: 1,281,490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,907 : 876,067 = 876,067 : x
  2. Step 2: Convert to fraction form
    598,907/876,067 = 876,067/x
  3. Step 3: Cross multiply
    598,907x = 876,067 × 876,067
  4. Step 4: Simplify right side
    598,907x = 767,493,388,489
  5. Step 5: Solve for x
    x = 767,493,388,489/598,907
  6. Step 6: Final answer
    x = 1,281,490.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.