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Finding the Third Proportional to 384,593.06 and 828,311.06

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Solution

The third proportional to 384,593.06 and 828,311.06 is: 1,783,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,593.06 : 828,311.06 = 828,311.06 : x
  2. Step 2: Convert to fraction form
    384,593.06/828,311.06 = 828,311.06/x
  3. Step 3: Cross multiply
    384,593.06x = 828,311.06 × 828,311.06
  4. Step 4: Simplify right side
    384,593.06x = 686,099,216,259.88
  5. Step 5: Solve for x
    x = 686,099,216,259.88/384,593.06
  6. Step 6: Final answer
    x = 1,783,961.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.