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Finding the Third Proportional to 339,493.50 and 512,698.50

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Solution

The third proportional to 339,493.50 and 512,698.50 is: 774,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,493.50 : 512,698.50 = 512,698.50 : x
  2. Step 2: Convert to fraction form
    339,493.50/512,698.50 = 512,698.50/x
  3. Step 3: Cross multiply
    339,493.50x = 512,698.50 × 512,698.50
  4. Step 4: Simplify right side
    339,493.50x = 262,859,751,902.25
  5. Step 5: Solve for x
    x = 262,859,751,902.25/339,493.50
  6. Step 6: Final answer
    x = 774,270.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.