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Finding the Third Proportional to 234,606 and 515,865

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Solution

The third proportional to 234,606 and 515,865 is: 1,134,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,606 : 515,865 = 515,865 : x
  2. Step 2: Convert to fraction form
    234,606/515,865 = 515,865/x
  3. Step 3: Cross multiply
    234,606x = 515,865 × 515,865
  4. Step 4: Simplify right side
    234,606x = 266,116,698,225
  5. Step 5: Solve for x
    x = 266,116,698,225/234,606
  6. Step 6: Final answer
    x = 1,134,313.27

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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.