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Finding the Third Proportional to 298,786.50 and 644,229

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Solution

The third proportional to 298,786.50 and 644,229 is: 1,389,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,786.50 : 644,229 = 644,229 : x
  2. Step 2: Convert to fraction form
    298,786.50/644,229 = 644,229/x
  3. Step 3: Cross multiply
    298,786.50x = 644,229 × 644,229
  4. Step 4: Simplify right side
    298,786.50x = 415,031,004,441
  5. Step 5: Solve for x
    x = 415,031,004,441/298,786.50
  6. Step 6: Final answer
    x = 1,389,055.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.