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Finding the Third Proportional to 211,467 and 493,440

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Solution

The third proportional to 211,467 and 493,440 is: 1,151,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,467 : 493,440 = 493,440 : x
  2. Step 2: Convert to fraction form
    211,467/493,440 = 493,440/x
  3. Step 3: Cross multiply
    211,467x = 493,440 × 493,440
  4. Step 4: Simplify right side
    211,467x = 243,483,033,600
  5. Step 5: Solve for x
    x = 243,483,033,600/211,467
  6. Step 6: Final answer
    x = 1,151,399.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.