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Finding the Third Proportional to 234,740 and 512,496

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Solution

The third proportional to 234,740 and 512,496 is: 1,118,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,740 : 512,496 = 512,496 : x
  2. Step 2: Convert to fraction form
    234,740/512,496 = 512,496/x
  3. Step 3: Cross multiply
    234,740x = 512,496 × 512,496
  4. Step 4: Simplify right side
    234,740x = 262,652,150,016
  5. Step 5: Solve for x
    x = 262,652,150,016/234,740
  6. Step 6: Final answer
    x = 1,118,906.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.