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Finding the Third Proportional to 330,451 and 525,200

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Solution

The third proportional to 330,451 and 525,200 is: 834,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,451 : 525,200 = 525,200 : x
  2. Step 2: Convert to fraction form
    330,451/525,200 = 525,200/x
  3. Step 3: Cross multiply
    330,451x = 525,200 × 525,200
  4. Step 4: Simplify right side
    330,451x = 275,835,040,000
  5. Step 5: Solve for x
    x = 275,835,040,000/330,451
  6. Step 6: Final answer
    x = 834,722.97

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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.