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Finding the Third Proportional to 283,491 and 434,997

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Solution

The third proportional to 283,491 and 434,997 is: 667,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,491 : 434,997 = 434,997 : x
  2. Step 2: Convert to fraction form
    283,491/434,997 = 434,997/x
  3. Step 3: Cross multiply
    283,491x = 434,997 × 434,997
  4. Step 4: Simplify right side
    283,491x = 189,222,390,009
  5. Step 5: Solve for x
    x = 189,222,390,009/283,491
  6. Step 6: Final answer
    x = 667,472.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.