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Finding the Third Proportional to 228,674 and 496,900

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Solution

The third proportional to 228,674 and 496,900 is: 1,079,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,674 : 496,900 = 496,900 : x
  2. Step 2: Convert to fraction form
    228,674/496,900 = 496,900/x
  3. Step 3: Cross multiply
    228,674x = 496,900 × 496,900
  4. Step 4: Simplify right side
    228,674x = 246,909,610,000
  5. Step 5: Solve for x
    x = 246,909,610,000/228,674
  6. Step 6: Final answer
    x = 1,079,745.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.