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Finding the Third Proportional to 376,532 and 828,880

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Solution

The third proportional to 376,532 and 828,880 is: 1,824,657.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,532 : 828,880 = 828,880 : x
  2. Step 2: Convert to fraction form
    376,532/828,880 = 828,880/x
  3. Step 3: Cross multiply
    376,532x = 828,880 × 828,880
  4. Step 4: Simplify right side
    376,532x = 687,042,054,400
  5. Step 5: Solve for x
    x = 687,042,054,400/376,532
  6. Step 6: Final answer
    x = 1,824,657.81

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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.