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Finding the Third Proportional to 381,776 and 829,168

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Solution

The third proportional to 381,776 and 829,168 is: 1,800,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,776 : 829,168 = 829,168 : x
  2. Step 2: Convert to fraction form
    381,776/829,168 = 829,168/x
  3. Step 3: Cross multiply
    381,776x = 829,168 × 829,168
  4. Step 4: Simplify right side
    381,776x = 687,519,572,224
  5. Step 5: Solve for x
    x = 687,519,572,224/381,776
  6. Step 6: Final answer
    x = 1,800,845.45

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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.