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Finding the Third Proportional to 224,660 and 480,909

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Solution

The third proportional to 224,660 and 480,909 is: 1,029,437.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,660 : 480,909 = 480,909 : x
  2. Step 2: Convert to fraction form
    224,660/480,909 = 480,909/x
  3. Step 3: Cross multiply
    224,660x = 480,909 × 480,909
  4. Step 4: Simplify right side
    224,660x = 231,273,466,281
  5. Step 5: Solve for x
    x = 231,273,466,281/224,660
  6. Step 6: Final answer
    x = 1,029,437.67

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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.