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Finding the Third Proportional to 298,932 and 444,139.50

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Solution

The third proportional to 298,932 and 444,139.50 is: 659,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,932 : 444,139.50 = 444,139.50 : x
  2. Step 2: Convert to fraction form
    298,932/444,139.50 = 444,139.50/x
  3. Step 3: Cross multiply
    298,932x = 444,139.50 × 444,139.50
  4. Step 4: Simplify right side
    298,932x = 197,259,895,460.25
  5. Step 5: Solve for x
    x = 197,259,895,460.25/298,932
  6. Step 6: Final answer
    x = 659,882.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.