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Finding the Third Proportional to 330,216 and 496,068

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Solution

The third proportional to 330,216 and 496,068 is: 745,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,216 : 496,068 = 496,068 : x
  2. Step 2: Convert to fraction form
    330,216/496,068 = 496,068/x
  3. Step 3: Cross multiply
    330,216x = 496,068 × 496,068
  4. Step 4: Simplify right side
    330,216x = 246,083,460,624
  5. Step 5: Solve for x
    x = 246,083,460,624/330,216
  6. Step 6: Final answer
    x = 745,219.68

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Why These Related Problems?

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