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Finding the Third Proportional to 234,003 and 515,814

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Solution

The third proportional to 234,003 and 515,814 is: 1,137,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,003 : 515,814 = 515,814 : x
  2. Step 2: Convert to fraction form
    234,003/515,814 = 515,814/x
  3. Step 3: Cross multiply
    234,003x = 515,814 × 515,814
  4. Step 4: Simplify right side
    234,003x = 266,064,082,596
  5. Step 5: Solve for x
    x = 266,064,082,596/234,003
  6. Step 6: Final answer
    x = 1,137,011.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.