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Finding the Third Proportional to 283,084 and 441,852

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Solution

The third proportional to 283,084 and 441,852 is: 689,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,084 : 441,852 = 441,852 : x
  2. Step 2: Convert to fraction form
    283,084/441,852 = 441,852/x
  3. Step 3: Cross multiply
    283,084x = 441,852 × 441,852
  4. Step 4: Simplify right side
    283,084x = 195,233,189,904
  5. Step 5: Solve for x
    x = 195,233,189,904/283,084
  6. Step 6: Final answer
    x = 689,665.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.