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Finding the Third Proportional to 376,534 and 828,884

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Solution

The third proportional to 376,534 and 828,884 is: 1,824,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,534 : 828,884 = 828,884 : x
  2. Step 2: Convert to fraction form
    376,534/828,884 = 828,884/x
  3. Step 3: Cross multiply
    376,534x = 828,884 × 828,884
  4. Step 4: Simplify right side
    376,534x = 687,048,685,456
  5. Step 5: Solve for x
    x = 687,048,685,456/376,534
  6. Step 6: Final answer
    x = 1,824,665.73

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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.