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Finding the Third Proportional to 339,178 and 736,676

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Solution

The third proportional to 339,178 and 736,676 is: 1,600,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,178 : 736,676 = 736,676 : x
  2. Step 2: Convert to fraction form
    339,178/736,676 = 736,676/x
  3. Step 3: Cross multiply
    339,178x = 736,676 × 736,676
  4. Step 4: Simplify right side
    339,178x = 542,691,528,976
  5. Step 5: Solve for x
    x = 542,691,528,976/339,178
  6. Step 6: Final answer
    x = 1,600,019.84

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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.