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Finding the Third Proportional to 332,982 and 529,617

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Solution

The third proportional to 332,982 and 529,617 is: 842,370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,982 : 529,617 = 529,617 : x
  2. Step 2: Convert to fraction form
    332,982/529,617 = 529,617/x
  3. Step 3: Cross multiply
    332,982x = 529,617 × 529,617
  4. Step 4: Simplify right side
    332,982x = 280,494,166,689
  5. Step 5: Solve for x
    x = 280,494,166,689/332,982
  6. Step 6: Final answer
    x = 842,370.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.