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Finding the Third Proportional to 339,048 and 512,011

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Solution

The third proportional to 339,048 and 512,011 is: 773,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,048 : 512,011 = 512,011 : x
  2. Step 2: Convert to fraction form
    339,048/512,011 = 512,011/x
  3. Step 3: Cross multiply
    339,048x = 512,011 × 512,011
  4. Step 4: Simplify right side
    339,048x = 262,155,264,121
  5. Step 5: Solve for x
    x = 262,155,264,121/339,048
  6. Step 6: Final answer
    x = 773,209.88

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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.