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Finding the Third Proportional to 212,549.06 and 449,091.84

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Solution

The third proportional to 212,549.06 and 449,091.84 is: 948,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,549.06 : 449,091.84 = 449,091.84 : x
  2. Step 2: Convert to fraction form
    212,549.06/449,091.84 = 449,091.84/x
  3. Step 3: Cross multiply
    212,549.06x = 449,091.84 × 449,091.84
  4. Step 4: Simplify right side
    212,549.06x = 201,683,484,122.77
  5. Step 5: Solve for x
    x = 201,683,484,122.77/212,549.06
  6. Step 6: Final answer
    x = 948,879.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.