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Finding the Third Proportional to 228,942 and 478,782

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Solution

The third proportional to 228,942 and 478,782 is: 1,001,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,942 : 478,782 = 478,782 : x
  2. Step 2: Convert to fraction form
    228,942/478,782 = 478,782/x
  3. Step 3: Cross multiply
    228,942x = 478,782 × 478,782
  4. Step 4: Simplify right side
    228,942x = 229,232,203,524
  5. Step 5: Solve for x
    x = 229,232,203,524/228,942
  6. Step 6: Final answer
    x = 1,001,267.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.