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Finding the Third Proportional to 350,615 and 767,969

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Solution

The third proportional to 350,615 and 767,969 is: 1,682,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,615 : 767,969 = 767,969 : x
  2. Step 2: Convert to fraction form
    350,615/767,969 = 767,969/x
  3. Step 3: Cross multiply
    350,615x = 767,969 × 767,969
  4. Step 4: Simplify right side
    350,615x = 589,776,384,961
  5. Step 5: Solve for x
    x = 589,776,384,961/350,615
  6. Step 6: Final answer
    x = 1,682,119.66

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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.