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Finding the Third Proportional to 339,045.75 and 512,007.75

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Solution

The third proportional to 339,045.75 and 512,007.75 is: 773,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,045.75 : 512,007.75 = 512,007.75 : x
  2. Step 2: Convert to fraction form
    339,045.75/512,007.75 = 512,007.75/x
  3. Step 3: Cross multiply
    339,045.75x = 512,007.75 × 512,007.75
  4. Step 4: Simplify right side
    339,045.75x = 262,151,936,060.06
  5. Step 5: Solve for x
    x = 262,151,936,060.06/339,045.75
  6. Step 6: Final answer
    x = 773,205.20

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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.