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Finding the Third Proportional to 330,446 and 525,194

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Solution

The third proportional to 330,446 and 525,194 is: 834,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,446 : 525,194 = 525,194 : x
  2. Step 2: Convert to fraction form
    330,446/525,194 = 525,194/x
  3. Step 3: Cross multiply
    330,446x = 525,194 × 525,194
  4. Step 4: Simplify right side
    330,446x = 275,828,737,636
  5. Step 5: Solve for x
    x = 275,828,737,636/330,446
  6. Step 6: Final answer
    x = 834,716.53

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