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Finding the Third Proportional to 356,122 and 751,974

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Solution

The third proportional to 356,122 and 751,974 is: 1,587,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,122 : 751,974 = 751,974 : x
  2. Step 2: Convert to fraction form
    356,122/751,974 = 751,974/x
  3. Step 3: Cross multiply
    356,122x = 751,974 × 751,974
  4. Step 4: Simplify right side
    356,122x = 565,464,896,676
  5. Step 5: Solve for x
    x = 565,464,896,676/356,122
  6. Step 6: Final answer
    x = 1,587,840.39

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.