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Finding the Third Proportional to 351,847 and 772,200

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Solution

The third proportional to 351,847 and 772,200 is: 1,694,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,847 : 772,200 = 772,200 : x
  2. Step 2: Convert to fraction form
    351,847/772,200 = 772,200/x
  3. Step 3: Cross multiply
    351,847x = 772,200 × 772,200
  4. Step 4: Simplify right side
    351,847x = 596,292,840,000
  5. Step 5: Solve for x
    x = 596,292,840,000/351,847
  6. Step 6: Final answer
    x = 1,694,750.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.