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Finding the Third Proportional to 234,126 and 512,856

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Solution

The third proportional to 234,126 and 512,856 is: 1,123,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,126 : 512,856 = 512,856 : x
  2. Step 2: Convert to fraction form
    234,126/512,856 = 512,856/x
  3. Step 3: Cross multiply
    234,126x = 512,856 × 512,856
  4. Step 4: Simplify right side
    234,126x = 263,021,276,736
  5. Step 5: Solve for x
    x = 263,021,276,736/234,126
  6. Step 6: Final answer
    x = 1,123,417.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.