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Finding the Third Proportional to 350,322 and 766,077

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Solution

The third proportional to 350,322 and 766,077 is: 1,675,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,322 : 766,077 = 766,077 : x
  2. Step 2: Convert to fraction form
    350,322/766,077 = 766,077/x
  3. Step 3: Cross multiply
    350,322x = 766,077 × 766,077
  4. Step 4: Simplify right side
    350,322x = 586,873,969,929
  5. Step 5: Solve for x
    x = 586,873,969,929/350,322
  6. Step 6: Final answer
    x = 1,675,241.55

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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.