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Finding the Third Proportional to 288,738 and 444,378

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Solution

The third proportional to 288,738 and 444,378 is: 683,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,738 : 444,378 = 444,378 : x
  2. Step 2: Convert to fraction form
    288,738/444,378 = 444,378/x
  3. Step 3: Cross multiply
    288,738x = 444,378 × 444,378
  4. Step 4: Simplify right side
    288,738x = 197,471,806,884
  5. Step 5: Solve for x
    x = 197,471,806,884/288,738
  6. Step 6: Final answer
    x = 683,913.47

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.