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Finding the Third Proportional to 336,624 and 505,800

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Solution

The third proportional to 336,624 and 505,800 is: 759,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,624 : 505,800 = 505,800 : x
  2. Step 2: Convert to fraction form
    336,624/505,800 = 505,800/x
  3. Step 3: Cross multiply
    336,624x = 505,800 × 505,800
  4. Step 4: Simplify right side
    336,624x = 255,833,640,000
  5. Step 5: Solve for x
    x = 255,833,640,000/336,624
  6. Step 6: Final answer
    x = 759,998.22

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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.