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Finding the Third Proportional to 351,375 and 772,722

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Solution

The third proportional to 351,375 and 772,722 is: 1,699,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,375 : 772,722 = 772,722 : x
  2. Step 2: Convert to fraction form
    351,375/772,722 = 772,722/x
  3. Step 3: Cross multiply
    351,375x = 772,722 × 772,722
  4. Step 4: Simplify right side
    351,375x = 597,099,289,284
  5. Step 5: Solve for x
    x = 597,099,289,284/351,375
  6. Step 6: Final answer
    x = 1,699,322.06

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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.