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Finding the Third Proportional to 299,052 and 444,258

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Solution

The third proportional to 299,052 and 444,258 is: 659,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,052 : 444,258 = 444,258 : x
  2. Step 2: Convert to fraction form
    299,052/444,258 = 444,258/x
  3. Step 3: Cross multiply
    299,052x = 444,258 × 444,258
  4. Step 4: Simplify right side
    299,052x = 197,365,170,564
  5. Step 5: Solve for x
    x = 197,365,170,564/299,052
  6. Step 6: Final answer
    x = 659,969.41

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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.