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Finding the Third Proportional to 353,351.25 and 773,991

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Solution

The third proportional to 353,351.25 and 773,991 is: 1,695,372.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,351.25 : 773,991 = 773,991 : x
  2. Step 2: Convert to fraction form
    353,351.25/773,991 = 773,991/x
  3. Step 3: Cross multiply
    353,351.25x = 773,991 × 773,991
  4. Step 4: Simplify right side
    353,351.25x = 599,062,068,081
  5. Step 5: Solve for x
    x = 599,062,068,081/353,351.25
  6. Step 6: Final answer
    x = 1,695,372.72

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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.