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Finding the Third Proportional to 334,512 and 809,052

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Solution

The third proportional to 334,512 and 809,052 is: 1,956,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,512 : 809,052 = 809,052 : x
  2. Step 2: Convert to fraction form
    334,512/809,052 = 809,052/x
  3. Step 3: Cross multiply
    334,512x = 809,052 × 809,052
  4. Step 4: Simplify right side
    334,512x = 654,565,138,704
  5. Step 5: Solve for x
    x = 654,565,138,704/334,512
  6. Step 6: Final answer
    x = 1,956,776.26

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.