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Finding the Third Proportional to 304,589 and 446,491

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Solution

The third proportional to 304,589 and 446,491 is: 654,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,589 : 446,491 = 446,491 : x
  2. Step 2: Convert to fraction form
    304,589/446,491 = 446,491/x
  3. Step 3: Cross multiply
    304,589x = 446,491 × 446,491
  4. Step 4: Simplify right side
    304,589x = 199,354,213,081
  5. Step 5: Solve for x
    x = 199,354,213,081/304,589
  6. Step 6: Final answer
    x = 654,502.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.