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Finding the Third Proportional to 302,448 and 446,772

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Solution

The third proportional to 302,448 and 446,772 is: 659,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,448 : 446,772 = 446,772 : x
  2. Step 2: Convert to fraction form
    302,448/446,772 = 446,772/x
  3. Step 3: Cross multiply
    302,448x = 446,772 × 446,772
  4. Step 4: Simplify right side
    302,448x = 199,605,219,984
  5. Step 5: Solve for x
    x = 199,605,219,984/302,448
  6. Step 6: Final answer
    x = 659,965.42

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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.