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Finding the Third Proportional to 283,032 and 384,588

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Solution

The third proportional to 283,032 and 384,588 is: 522,583.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,032 : 384,588 = 384,588 : x
  2. Step 2: Convert to fraction form
    283,032/384,588 = 384,588/x
  3. Step 3: Cross multiply
    283,032x = 384,588 × 384,588
  4. Step 4: Simplify right side
    283,032x = 147,907,929,744
  5. Step 5: Solve for x
    x = 147,907,929,744/283,032
  6. Step 6: Final answer
    x = 522,583.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.