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Finding the Third Proportional to 212,954 and 470,215

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Solution

The third proportional to 212,954 and 470,215 is: 1,038,262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,954 : 470,215 = 470,215 : x
  2. Step 2: Convert to fraction form
    212,954/470,215 = 470,215/x
  3. Step 3: Cross multiply
    212,954x = 470,215 × 470,215
  4. Step 4: Simplify right side
    212,954x = 221,102,146,225
  5. Step 5: Solve for x
    x = 221,102,146,225/212,954
  6. Step 6: Final answer
    x = 1,038,262.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.