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Finding the Third Proportional to 234,106 and 512,815

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Solution

The third proportional to 234,106 and 512,815 is: 1,123,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,106 : 512,815 = 512,815 : x
  2. Step 2: Convert to fraction form
    234,106/512,815 = 512,815/x
  3. Step 3: Cross multiply
    234,106x = 512,815 × 512,815
  4. Step 4: Simplify right side
    234,106x = 262,979,224,225
  5. Step 5: Solve for x
    x = 262,979,224,225/234,106
  6. Step 6: Final answer
    x = 1,123,333.98

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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.