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Finding the Third Proportional to 271,668 and 590,010

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Solution

The third proportional to 271,668 and 590,010 is: 1,281,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,668 : 590,010 = 590,010 : x
  2. Step 2: Convert to fraction form
    271,668/590,010 = 590,010/x
  3. Step 3: Cross multiply
    271,668x = 590,010 × 590,010
  4. Step 4: Simplify right side
    271,668x = 348,111,800,100
  5. Step 5: Solve for x
    x = 348,111,800,100/271,668
  6. Step 6: Final answer
    x = 1,281,386.84

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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.