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Finding the Third Proportional to 384,519 and 828,203

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Solution

The third proportional to 384,519 and 828,203 is: 1,783,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,519 : 828,203 = 828,203 : x
  2. Step 2: Convert to fraction form
    384,519/828,203 = 828,203/x
  3. Step 3: Cross multiply
    384,519x = 828,203 × 828,203
  4. Step 4: Simplify right side
    384,519x = 685,920,209,209
  5. Step 5: Solve for x
    x = 685,920,209,209/384,519
  6. Step 6: Final answer
    x = 1,783,839.57

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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.