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Finding the Third Proportional to 302,406 and 446,713

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Solution

The third proportional to 302,406 and 446,713 is: 659,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,406 : 446,713 = 446,713 : x
  2. Step 2: Convert to fraction form
    302,406/446,713 = 446,713/x
  3. Step 3: Cross multiply
    302,406x = 446,713 × 446,713
  4. Step 4: Simplify right side
    302,406x = 199,552,504,369
  5. Step 5: Solve for x
    x = 199,552,504,369/302,406
  6. Step 6: Final answer
    x = 659,882.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.