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Finding the Third Proportional to 220,052 and 330,566

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Solution

The third proportional to 220,052 and 330,566 is: 496,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,052 : 330,566 = 330,566 : x
  2. Step 2: Convert to fraction form
    220,052/330,566 = 330,566/x
  3. Step 3: Cross multiply
    220,052x = 330,566 × 330,566
  4. Step 4: Simplify right side
    220,052x = 109,273,880,356
  5. Step 5: Solve for x
    x = 109,273,880,356/220,052
  6. Step 6: Final answer
    x = 496,582.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.