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Finding the Third Proportional to 339,176 and 736,672

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Solution

The third proportional to 339,176 and 736,672 is: 1,600,011.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,176 : 736,672 = 736,672 : x
  2. Step 2: Convert to fraction form
    339,176/736,672 = 736,672/x
  3. Step 3: Cross multiply
    339,176x = 736,672 × 736,672
  4. Step 4: Simplify right side
    339,176x = 542,685,635,584
  5. Step 5: Solve for x
    x = 542,685,635,584/339,176
  6. Step 6: Final answer
    x = 1,600,011.90

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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.