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Finding the Third Proportional to 381,046 and 560,166

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Solution

The third proportional to 381,046 and 560,166 is: 823,485.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,046 : 560,166 = 560,166 : x
  2. Step 2: Convert to fraction form
    381,046/560,166 = 560,166/x
  3. Step 3: Cross multiply
    381,046x = 560,166 × 560,166
  4. Step 4: Simplify right side
    381,046x = 313,785,947,556
  5. Step 5: Solve for x
    x = 313,785,947,556/381,046
  6. Step 6: Final answer
    x = 823,485.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.