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Finding the Third Proportional to 346,138 and 751,325

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Solution

The third proportional to 346,138 and 751,325 is: 1,630,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,138 : 751,325 = 751,325 : x
  2. Step 2: Convert to fraction form
    346,138/751,325 = 751,325/x
  3. Step 3: Cross multiply
    346,138x = 751,325 × 751,325
  4. Step 4: Simplify right side
    346,138x = 564,489,255,625
  5. Step 5: Solve for x
    x = 564,489,255,625/346,138
  6. Step 6: Final answer
    x = 1,630,821.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.