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Finding the Third Proportional to 304,907 and 446,425

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Solution

The third proportional to 304,907 and 446,425 is: 653,626.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,907 : 446,425 = 446,425 : x
  2. Step 2: Convert to fraction form
    304,907/446,425 = 446,425/x
  3. Step 3: Cross multiply
    304,907x = 446,425 × 446,425
  4. Step 4: Simplify right side
    304,907x = 199,295,280,625
  5. Step 5: Solve for x
    x = 199,295,280,625/304,907
  6. Step 6: Final answer
    x = 653,626.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.