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Finding the Third Proportional to 383,100 and 777,144

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Solution

The third proportional to 383,100 and 777,144 is: 1,576,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,100 : 777,144 = 777,144 : x
  2. Step 2: Convert to fraction form
    383,100/777,144 = 777,144/x
  3. Step 3: Cross multiply
    383,100x = 777,144 × 777,144
  4. Step 4: Simplify right side
    383,100x = 603,952,796,736
  5. Step 5: Solve for x
    x = 603,952,796,736/383,100
  6. Step 6: Final answer
    x = 1,576,488.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.