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Finding the Third Proportional to 352,806 and 775,844

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Solution

The third proportional to 352,806 and 775,844 is: 1,706,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,806 : 775,844 = 775,844 : x
  2. Step 2: Convert to fraction form
    352,806/775,844 = 775,844/x
  3. Step 3: Cross multiply
    352,806x = 775,844 × 775,844
  4. Step 4: Simplify right side
    352,806x = 601,933,912,336
  5. Step 5: Solve for x
    x = 601,933,912,336/352,806
  6. Step 6: Final answer
    x = 1,706,132.87

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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.