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Finding the Third Proportional to 224,459 and 480,049

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Solution

The third proportional to 224,459 and 480,049 is: 1,026,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,459 : 480,049 = 480,049 : x
  2. Step 2: Convert to fraction form
    224,459/480,049 = 480,049/x
  3. Step 3: Cross multiply
    224,459x = 480,049 × 480,049
  4. Step 4: Simplify right side
    224,459x = 230,447,042,401
  5. Step 5: Solve for x
    x = 230,447,042,401/224,459
  6. Step 6: Final answer
    x = 1,026,677.67

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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.