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Finding the Third Proportional to 211,296 and 457,848

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Solution

The third proportional to 211,296 and 457,848 is: 992,090.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296 : 457,848 = 457,848 : x
  2. Step 2: Convert to fraction form
    211,296/457,848 = 457,848/x
  3. Step 3: Cross multiply
    211,296x = 457,848 × 457,848
  4. Step 4: Simplify right side
    211,296x = 209,624,791,104
  5. Step 5: Solve for x
    x = 209,624,791,104/211,296
  6. Step 6: Final answer
    x = 992,090.67

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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.