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Finding the Third Proportional to 339,652 and 738,284

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Solution

The third proportional to 339,652 and 738,284 is: 1,604,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,652 : 738,284 = 738,284 : x
  2. Step 2: Convert to fraction form
    339,652/738,284 = 738,284/x
  3. Step 3: Cross multiply
    339,652x = 738,284 × 738,284
  4. Step 4: Simplify right side
    339,652x = 545,063,264,656
  5. Step 5: Solve for x
    x = 545,063,264,656/339,652
  6. Step 6: Final answer
    x = 1,604,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.