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Finding the Third Proportional to 336,817 and 522,965

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Solution

The third proportional to 336,817 and 522,965 is: 811,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,817 : 522,965 = 522,965 : x
  2. Step 2: Convert to fraction form
    336,817/522,965 = 522,965/x
  3. Step 3: Cross multiply
    336,817x = 522,965 × 522,965
  4. Step 4: Simplify right side
    336,817x = 273,492,391,225
  5. Step 5: Solve for x
    x = 273,492,391,225/336,817
  6. Step 6: Final answer
    x = 811,991.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.