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Finding the Third Proportional to 207,826 and 334,690

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Solution

The third proportional to 207,826 and 334,690 is: 538,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,826 : 334,690 = 334,690 : x
  2. Step 2: Convert to fraction form
    207,826/334,690 = 334,690/x
  3. Step 3: Cross multiply
    207,826x = 334,690 × 334,690
  4. Step 4: Simplify right side
    207,826x = 112,017,396,100
  5. Step 5: Solve for x
    x = 112,017,396,100/207,826
  6. Step 6: Final answer
    x = 538,996.06

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.