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Finding the Third Proportional to 298,471.50 and 644,226

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Solution

The third proportional to 298,471.50 and 644,226 is: 1,390,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,471.50 : 644,226 = 644,226 : x
  2. Step 2: Convert to fraction form
    298,471.50/644,226 = 644,226/x
  3. Step 3: Cross multiply
    298,471.50x = 644,226 × 644,226
  4. Step 4: Simplify right side
    298,471.50x = 415,027,139,076
  5. Step 5: Solve for x
    x = 415,027,139,076/298,471.50
  6. Step 6: Final answer
    x = 1,390,508.44

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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.