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Finding the Third Proportional to 211,011 and 449,697

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Solution

The third proportional to 211,011 and 449,697 is: 958,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,011 : 449,697 = 449,697 : x
  2. Step 2: Convert to fraction form
    211,011/449,697 = 449,697/x
  3. Step 3: Cross multiply
    211,011x = 449,697 × 449,697
  4. Step 4: Simplify right side
    211,011x = 202,227,391,809
  5. Step 5: Solve for x
    x = 202,227,391,809/211,011
  6. Step 6: Final answer
    x = 958,373.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.