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Finding the Third Proportional to 288,069.75 and 414,974.81

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Solution

The third proportional to 288,069.75 and 414,974.81 is: 597,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,069.75 : 414,974.81 = 414,974.81 : x
  2. Step 2: Convert to fraction form
    288,069.75/414,974.81 = 414,974.81/x
  3. Step 3: Cross multiply
    288,069.75x = 414,974.81 × 414,974.81
  4. Step 4: Simplify right side
    288,069.75x = 172,204,095,009.41
  5. Step 5: Solve for x
    x = 172,204,095,009.41/288,069.75
  6. Step 6: Final answer
    x = 597,786.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.