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Finding the Third Proportional to 352,802 and 775,836

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Solution

The third proportional to 352,802 and 775,836 is: 1,706,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,802 : 775,836 = 775,836 : x
  2. Step 2: Convert to fraction form
    352,802/775,836 = 775,836/x
  3. Step 3: Cross multiply
    352,802x = 775,836 × 775,836
  4. Step 4: Simplify right side
    352,802x = 601,921,498,896
  5. Step 5: Solve for x
    x = 601,921,498,896/352,802
  6. Step 6: Final answer
    x = 1,706,117.03

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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.