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Finding the Third Proportional to 228,162 and 470,778

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Solution

The third proportional to 228,162 and 470,778 is: 971,379.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,162 : 470,778 = 470,778 : x
  2. Step 2: Convert to fraction form
    228,162/470,778 = 470,778/x
  3. Step 3: Cross multiply
    228,162x = 470,778 × 470,778
  4. Step 4: Simplify right side
    228,162x = 221,631,925,284
  5. Step 5: Solve for x
    x = 221,631,925,284/228,162
  6. Step 6: Final answer
    x = 971,379.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.