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Finding the Third Proportional to 384,532 and 828,231

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Solution

The third proportional to 384,532 and 828,231 is: 1,783,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,532 : 828,231 = 828,231 : x
  2. Step 2: Convert to fraction form
    384,532/828,231 = 828,231/x
  3. Step 3: Cross multiply
    384,532x = 828,231 × 828,231
  4. Step 4: Simplify right side
    384,532x = 685,966,589,361
  5. Step 5: Solve for x
    x = 685,966,589,361/384,532
  6. Step 6: Final answer
    x = 1,783,899.88

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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.