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Finding the Third Proportional to 211,692 and 452,500

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Solution

The third proportional to 211,692 and 452,500 is: 967,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,692 : 452,500 = 452,500 : x
  2. Step 2: Convert to fraction form
    211,692/452,500 = 452,500/x
  3. Step 3: Cross multiply
    211,692x = 452,500 × 452,500
  4. Step 4: Simplify right side
    211,692x = 204,756,250,000
  5. Step 5: Solve for x
    x = 204,756,250,000/211,692
  6. Step 6: Final answer
    x = 967,236.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.