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Finding the Third Proportional to 211,037 and 461,242

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Solution

The third proportional to 211,037 and 461,242 is: 1,008,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,037 : 461,242 = 461,242 : x
  2. Step 2: Convert to fraction form
    211,037/461,242 = 461,242/x
  3. Step 3: Cross multiply
    211,037x = 461,242 × 461,242
  4. Step 4: Simplify right side
    211,037x = 212,744,182,564
  5. Step 5: Solve for x
    x = 212,744,182,564/211,037
  6. Step 6: Final answer
    x = 1,008,089.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.