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Finding the Third Proportional to 302,224 and 661,760

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Solution

The third proportional to 302,224 and 661,760 is: 1,449,012.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,224 : 661,760 = 661,760 : x
  2. Step 2: Convert to fraction form
    302,224/661,760 = 661,760/x
  3. Step 3: Cross multiply
    302,224x = 661,760 × 661,760
  4. Step 4: Simplify right side
    302,224x = 437,926,297,600
  5. Step 5: Solve for x
    x = 437,926,297,600/302,224
  6. Step 6: Final answer
    x = 1,449,012.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.