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Finding the Third Proportional to 323,566 and 496,617

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Solution

The third proportional to 323,566 and 496,617 is: 762,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,566 : 496,617 = 496,617 : x
  2. Step 2: Convert to fraction form
    323,566/496,617 = 496,617/x
  3. Step 3: Cross multiply
    323,566x = 496,617 × 496,617
  4. Step 4: Simplify right side
    323,566x = 246,628,444,689
  5. Step 5: Solve for x
    x = 246,628,444,689/323,566
  6. Step 6: Final answer
    x = 762,219.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.