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Finding the Third Proportional to 227,025 and 486,648

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Solution

The third proportional to 227,025 and 486,648 is: 1,043,172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,025 : 486,648 = 486,648 : x
  2. Step 2: Convert to fraction form
    227,025/486,648 = 486,648/x
  3. Step 3: Cross multiply
    227,025x = 486,648 × 486,648
  4. Step 4: Simplify right side
    227,025x = 236,826,275,904
  5. Step 5: Solve for x
    x = 236,826,275,904/227,025
  6. Step 6: Final answer
    x = 1,043,172.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.