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Finding the Third Proportional to 299,264 and 446,208

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Solution

The third proportional to 299,264 and 446,208 is: 665,304.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,264 : 446,208 = 446,208 : x
  2. Step 2: Convert to fraction form
    299,264/446,208 = 446,208/x
  3. Step 3: Cross multiply
    299,264x = 446,208 × 446,208
  4. Step 4: Simplify right side
    299,264x = 199,101,579,264
  5. Step 5: Solve for x
    x = 199,101,579,264/299,264
  6. Step 6: Final answer
    x = 665,304.14

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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.