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Finding the Third Proportional to 298,964 and 444,188

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Solution

The third proportional to 298,964 and 444,188 is: 659,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,964 : 444,188 = 444,188 : x
  2. Step 2: Convert to fraction form
    298,964/444,188 = 444,188/x
  3. Step 3: Cross multiply
    298,964x = 444,188 × 444,188
  4. Step 4: Simplify right side
    298,964x = 197,302,979,344
  5. Step 5: Solve for x
    x = 197,302,979,344/298,964
  6. Step 6: Final answer
    x = 659,955.64

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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.