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Finding the Third Proportional to 302,991.75 and 448,632

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Solution

The third proportional to 302,991.75 and 448,632 is: 664,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,991.75 : 448,632 = 448,632 : x
  2. Step 2: Convert to fraction form
    302,991.75/448,632 = 448,632/x
  3. Step 3: Cross multiply
    302,991.75x = 448,632 × 448,632
  4. Step 4: Simplify right side
    302,991.75x = 201,270,671,424
  5. Step 5: Solve for x
    x = 201,270,671,424/302,991.75
  6. Step 6: Final answer
    x = 664,277.73

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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.