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Finding the Third Proportional to 226,812 and 488,291

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Solution

The third proportional to 226,812 and 488,291 is: 1,051,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,812 : 488,291 = 488,291 : x
  2. Step 2: Convert to fraction form
    226,812/488,291 = 488,291/x
  3. Step 3: Cross multiply
    226,812x = 488,291 × 488,291
  4. Step 4: Simplify right side
    226,812x = 238,428,100,681
  5. Step 5: Solve for x
    x = 238,428,100,681/226,812
  6. Step 6: Final answer
    x = 1,051,214.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.