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Finding the Third Proportional to 224,745.75 and 490,907.81

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Solution

The third proportional to 224,745.75 and 490,907.81 is: 1,072,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,745.75 : 490,907.81 = 490,907.81 : x
  2. Step 2: Convert to fraction form
    224,745.75/490,907.81 = 490,907.81/x
  3. Step 3: Cross multiply
    224,745.75x = 490,907.81 × 490,907.81
  4. Step 4: Simplify right side
    224,745.75x = 240,990,480,373.54
  5. Step 5: Solve for x
    x = 240,990,480,373.54/224,745.75
  6. Step 6: Final answer
    x = 1,072,280.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.