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Finding the Third Proportional to 224,124 and 485,584

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Solution

The third proportional to 224,124 and 485,584 is: 1,052,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,124 : 485,584 = 485,584 : x
  2. Step 2: Convert to fraction form
    224,124/485,584 = 485,584/x
  3. Step 3: Cross multiply
    224,124x = 485,584 × 485,584
  4. Step 4: Simplify right side
    224,124x = 235,791,821,056
  5. Step 5: Solve for x
    x = 235,791,821,056/224,124
  6. Step 6: Final answer
    x = 1,052,059.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.