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Finding the Third Proportional to 259,898 and 388,789

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Solution

The third proportional to 259,898 and 388,789 is: 581,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,898 : 388,789 = 388,789 : x
  2. Step 2: Convert to fraction form
    259,898/388,789 = 388,789/x
  3. Step 3: Cross multiply
    259,898x = 388,789 × 388,789
  4. Step 4: Simplify right side
    259,898x = 151,156,886,521
  5. Step 5: Solve for x
    x = 151,156,886,521/259,898
  6. Step 6: Final answer
    x = 581,600.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.