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Finding the Third Proportional to 302,996 and 448,662

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Solution

The third proportional to 302,996 and 448,662 is: 664,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,996 : 448,662 = 448,662 : x
  2. Step 2: Convert to fraction form
    302,996/448,662 = 448,662/x
  3. Step 3: Cross multiply
    302,996x = 448,662 × 448,662
  4. Step 4: Simplify right side
    302,996x = 201,297,590,244
  5. Step 5: Solve for x
    x = 201,297,590,244/302,996
  6. Step 6: Final answer
    x = 664,357.25

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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.