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Finding the Third Proportional to 302,327 and 446,569

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Solution

The third proportional to 302,327 and 446,569 is: 659,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,327 : 446,569 = 446,569 : x
  2. Step 2: Convert to fraction form
    302,327/446,569 = 446,569/x
  3. Step 3: Cross multiply
    302,327x = 446,569 × 446,569
  4. Step 4: Simplify right side
    302,327x = 199,423,871,761
  5. Step 5: Solve for x
    x = 199,423,871,761/302,327
  6. Step 6: Final answer
    x = 659,629.71

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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.