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Finding the Third Proportional to 381,588 and 828,732

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Solution

The third proportional to 381,588 and 828,732 is: 1,799,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,588 : 828,732 = 828,732 : x
  2. Step 2: Convert to fraction form
    381,588/828,732 = 828,732/x
  3. Step 3: Cross multiply
    381,588x = 828,732 × 828,732
  4. Step 4: Simplify right side
    381,588x = 686,796,727,824
  5. Step 5: Solve for x
    x = 686,796,727,824/381,588
  6. Step 6: Final answer
    x = 1,799,838.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.