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Finding the Third Proportional to 351,845 and 772,195.50

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Solution

The third proportional to 351,845 and 772,195.50 is: 1,694,740.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,845 : 772,195.50 = 772,195.50 : x
  2. Step 2: Convert to fraction form
    351,845/772,195.50 = 772,195.50/x
  3. Step 3: Cross multiply
    351,845x = 772,195.50 × 772,195.50
  4. Step 4: Simplify right side
    351,845x = 596,285,890,220.25
  5. Step 5: Solve for x
    x = 596,285,890,220.25/351,845
  6. Step 6: Final answer
    x = 1,694,740.27

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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.