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Finding the Third Proportional to 211,734 and 452,556

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Solution

The third proportional to 211,734 and 452,556 is: 967,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,734 : 452,556 = 452,556 : x
  2. Step 2: Convert to fraction form
    211,734/452,556 = 452,556/x
  3. Step 3: Cross multiply
    211,734x = 452,556 × 452,556
  4. Step 4: Simplify right side
    211,734x = 204,806,933,136
  5. Step 5: Solve for x
    x = 204,806,933,136/211,734
  6. Step 6: Final answer
    x = 967,284.11

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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.