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Finding the Third Proportional to 448,224 and 665,976

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Solution

The third proportional to 448,224 and 665,976 is: 989,514.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,224 : 665,976 = 665,976 : x
  2. Step 2: Convert to fraction form
    448,224/665,976 = 665,976/x
  3. Step 3: Cross multiply
    448,224x = 665,976 × 665,976
  4. Step 4: Simplify right side
    448,224x = 443,524,032,576
  5. Step 5: Solve for x
    x = 443,524,032,576/448,224
  6. Step 6: Final answer
    x = 989,514.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.