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Finding the Third Proportional to 241,210 and 509,176

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Solution

The third proportional to 241,210 and 509,176 is: 1,074,831.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,210 : 509,176 = 509,176 : x
  2. Step 2: Convert to fraction form
    241,210/509,176 = 509,176/x
  3. Step 3: Cross multiply
    241,210x = 509,176 × 509,176
  4. Step 4: Simplify right side
    241,210x = 259,260,198,976
  5. Step 5: Solve for x
    x = 259,260,198,976/241,210
  6. Step 6: Final answer
    x = 1,074,831.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.