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Finding the Third Proportional to 382,350.38 and 892,994.63

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Solution

The third proportional to 382,350.38 and 892,994.63 is: 2,085,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,350.38 : 892,994.63 = 892,994.63 : x
  2. Step 2: Convert to fraction form
    382,350.38/892,994.63 = 892,994.63/x
  3. Step 3: Cross multiply
    382,350.38x = 892,994.63 × 892,994.63
  4. Step 4: Simplify right side
    382,350.38x = 797,439,400,278.89
  5. Step 5: Solve for x
    x = 797,439,400,278.89/382,350.38
  6. Step 6: Final answer
    x = 2,085,624.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.