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Finding the Third Proportional to 300,025.69 and 424,522.69

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Solution

The third proportional to 300,025.69 and 424,522.69 is: 600,680.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,025.69 : 424,522.69 = 424,522.69 : x
  2. Step 2: Convert to fraction form
    300,025.69/424,522.69 = 424,522.69/x
  3. Step 3: Cross multiply
    300,025.69x = 424,522.69 × 424,522.69
  4. Step 4: Simplify right side
    300,025.69x = 180,219,512,202.22
  5. Step 5: Solve for x
    x = 180,219,512,202.22/300,025.69
  6. Step 6: Final answer
    x = 600,680.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.