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Finding the Third Proportional to 352,842 and 775,668

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Solution

The third proportional to 352,842 and 775,668 is: 1,705,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,842 : 775,668 = 775,668 : x
  2. Step 2: Convert to fraction form
    352,842/775,668 = 775,668/x
  3. Step 3: Cross multiply
    352,842x = 775,668 × 775,668
  4. Step 4: Simplify right side
    352,842x = 601,660,846,224
  5. Step 5: Solve for x
    x = 601,660,846,224/352,842
  6. Step 6: Final answer
    x = 1,705,184.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.