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Finding the Third Proportional to 234,000 and 512,424

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Solution

The third proportional to 234,000 and 512,424 is: 1,122,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,000 : 512,424 = 512,424 : x
  2. Step 2: Convert to fraction form
    234,000/512,424 = 512,424/x
  3. Step 3: Cross multiply
    234,000x = 512,424 × 512,424
  4. Step 4: Simplify right side
    234,000x = 262,578,355,776
  5. Step 5: Solve for x
    x = 262,578,355,776/234,000
  6. Step 6: Final answer
    x = 1,122,129.73

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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.