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Finding the Third Proportional to 302,466 and 446,799

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Solution

The third proportional to 302,466 and 446,799 is: 660,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,466 : 446,799 = 446,799 : x
  2. Step 2: Convert to fraction form
    302,466/446,799 = 446,799/x
  3. Step 3: Cross multiply
    302,466x = 446,799 × 446,799
  4. Step 4: Simplify right side
    302,466x = 199,629,346,401
  5. Step 5: Solve for x
    x = 199,629,346,401/302,466
  6. Step 6: Final answer
    x = 660,005.91

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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.