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Finding the Third Proportional to 272,855 and 589,162

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Solution

The third proportional to 272,855 and 589,162 is: 1,272,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,855 : 589,162 = 589,162 : x
  2. Step 2: Convert to fraction form
    272,855/589,162 = 589,162/x
  3. Step 3: Cross multiply
    272,855x = 589,162 × 589,162
  4. Step 4: Simplify right side
    272,855x = 347,111,862,244
  5. Step 5: Solve for x
    x = 347,111,862,244/272,855
  6. Step 6: Final answer
    x = 1,272,147.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.