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Finding the Third Proportional to 376,843.13 and 828,403.88

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Solution

The third proportional to 376,843.13 and 828,403.88 is: 1,821,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,843.13 : 828,403.88 = 828,403.88 : x
  2. Step 2: Convert to fraction form
    376,843.13/828,403.88 = 828,403.88/x
  3. Step 3: Cross multiply
    376,843.13x = 828,403.88 × 828,403.88
  4. Step 4: Simplify right side
    376,843.13x = 686,252,980,115.02
  5. Step 5: Solve for x
    x = 686,252,980,115.02/376,843.13
  6. Step 6: Final answer
    x = 1,821,057.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.