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Finding the Third Proportional to 339,066 and 736,398

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Solution

The third proportional to 339,066 and 736,398 is: 1,599,340.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,066 : 736,398 = 736,398 : x
  2. Step 2: Convert to fraction form
    339,066/736,398 = 736,398/x
  3. Step 3: Cross multiply
    339,066x = 736,398 × 736,398
  4. Step 4: Simplify right side
    339,066x = 542,282,014,404
  5. Step 5: Solve for x
    x = 542,282,014,404/339,066
  6. Step 6: Final answer
    x = 1,599,340.58

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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.