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Finding the Third Proportional to 336,632 and 505,811

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Solution

The third proportional to 336,632 and 505,811 is: 760,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,632 : 505,811 = 505,811 : x
  2. Step 2: Convert to fraction form
    336,632/505,811 = 505,811/x
  3. Step 3: Cross multiply
    336,632x = 505,811 × 505,811
  4. Step 4: Simplify right side
    336,632x = 255,844,767,721
  5. Step 5: Solve for x
    x = 255,844,767,721/336,632
  6. Step 6: Final answer
    x = 760,013.21

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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.