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Finding the Third Proportional to 212,440.50 and 461,856.38

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Solution

The third proportional to 212,440.50 and 461,856.38 is: 1,004,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,440.50 : 461,856.38 = 461,856.38 : x
  2. Step 2: Convert to fraction form
    212,440.50/461,856.38 = 461,856.38/x
  3. Step 3: Cross multiply
    212,440.50x = 461,856.38 × 461,856.38
  4. Step 4: Simplify right side
    212,440.50x = 213,311,311,128.14
  5. Step 5: Solve for x
    x = 213,311,311,128.14/212,440.50
  6. Step 6: Final answer
    x = 1,004,099.08

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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.