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Finding the Third Proportional to 224,401 and 480,323

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Solution

The third proportional to 224,401 and 480,323 is: 1,028,115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,401 : 480,323 = 480,323 : x
  2. Step 2: Convert to fraction form
    224,401/480,323 = 480,323/x
  3. Step 3: Cross multiply
    224,401x = 480,323 × 480,323
  4. Step 4: Simplify right side
    224,401x = 230,710,184,329
  5. Step 5: Solve for x
    x = 230,710,184,329/224,401
  6. Step 6: Final answer
    x = 1,028,115.67

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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.