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Finding the Third Proportional to 234,579 and 512,175

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Solution

The third proportional to 234,579 and 512,175 is: 1,118,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,579 : 512,175 = 512,175 : x
  2. Step 2: Convert to fraction form
    234,579/512,175 = 512,175/x
  3. Step 3: Cross multiply
    234,579x = 512,175 × 512,175
  4. Step 4: Simplify right side
    234,579x = 262,323,230,625
  5. Step 5: Solve for x
    x = 262,323,230,625/234,579
  6. Step 6: Final answer
    x = 1,118,272.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.