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Finding the Third Proportional to 302,466 and 446,781

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Solution

The third proportional to 302,466 and 446,781 is: 659,952.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,466 : 446,781 = 446,781 : x
  2. Step 2: Convert to fraction form
    302,466/446,781 = 446,781/x
  3. Step 3: Cross multiply
    302,466x = 446,781 × 446,781
  4. Step 4: Simplify right side
    302,466x = 199,613,261,961
  5. Step 5: Solve for x
    x = 199,613,261,961/302,466
  6. Step 6: Final answer
    x = 659,952.73

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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.