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Finding the Third Proportional to 302,960.25 and 448,581.80

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Solution

The third proportional to 302,960.25 and 448,581.80 is: 664,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,960.25 : 448,581.80 = 448,581.80 : x
  2. Step 2: Convert to fraction form
    302,960.25/448,581.80 = 448,581.80/x
  3. Step 3: Cross multiply
    302,960.25x = 448,581.80 × 448,581.80
  4. Step 4: Simplify right side
    302,960.25x = 201,225,628,487.60
  5. Step 5: Solve for x
    x = 201,225,628,487.60/302,960.25
  6. Step 6: Final answer
    x = 664,198.12

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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.