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Finding the Third Proportional to 272,686 and 585,851

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Solution

The third proportional to 272,686 and 585,851 is: 1,258,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,686 : 585,851 = 585,851 : x
  2. Step 2: Convert to fraction form
    272,686/585,851 = 585,851/x
  3. Step 3: Cross multiply
    272,686x = 585,851 × 585,851
  4. Step 4: Simplify right side
    272,686x = 343,221,394,201
  5. Step 5: Solve for x
    x = 343,221,394,201/272,686
  6. Step 6: Final answer
    x = 1,258,668.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.