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Finding the Third Proportional to 272,162 and 576,769

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Solution

The third proportional to 272,162 and 576,769 is: 1,222,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,162 : 576,769 = 576,769 : x
  2. Step 2: Convert to fraction form
    272,162/576,769 = 576,769/x
  3. Step 3: Cross multiply
    272,162x = 576,769 × 576,769
  4. Step 4: Simplify right side
    272,162x = 332,662,479,361
  5. Step 5: Solve for x
    x = 332,662,479,361/272,162
  6. Step 6: Final answer
    x = 1,222,295.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.