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Finding the Third Proportional to 352,191 and 761,811

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Solution

The third proportional to 352,191 and 761,811 is: 1,647,844.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,191 : 761,811 = 761,811 : x
  2. Step 2: Convert to fraction form
    352,191/761,811 = 761,811/x
  3. Step 3: Cross multiply
    352,191x = 761,811 × 761,811
  4. Step 4: Simplify right side
    352,191x = 580,355,999,721
  5. Step 5: Solve for x
    x = 580,355,999,721/352,191
  6. Step 6: Final answer
    x = 1,647,844.49

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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.