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Finding the Third Proportional to 332,642 and 521,215.50

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Solution

The third proportional to 332,642 and 521,215.50 is: 816,690.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,642 : 521,215.50 = 521,215.50 : x
  2. Step 2: Convert to fraction form
    332,642/521,215.50 = 521,215.50/x
  3. Step 3: Cross multiply
    332,642x = 521,215.50 × 521,215.50
  4. Step 4: Simplify right side
    332,642x = 271,665,597,440.25
  5. Step 5: Solve for x
    x = 271,665,597,440.25/332,642
  6. Step 6: Final answer
    x = 816,690.61

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.