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Finding the Third Proportional to 394,533 and 577,032

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Solution

The third proportional to 394,533 and 577,032 is: 843,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,533 : 577,032 = 577,032 : x
  2. Step 2: Convert to fraction form
    394,533/577,032 = 577,032/x
  3. Step 3: Cross multiply
    394,533x = 577,032 × 577,032
  4. Step 4: Simplify right side
    394,533x = 332,965,929,024
  5. Step 5: Solve for x
    x = 332,965,929,024/394,533
  6. Step 6: Final answer
    x = 843,949.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.