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Finding the Third Proportional to 211,078 and 455,834

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Solution

The third proportional to 211,078 and 455,834 is: 984,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,078 : 455,834 = 455,834 : x
  2. Step 2: Convert to fraction form
    211,078/455,834 = 455,834/x
  3. Step 3: Cross multiply
    211,078x = 455,834 × 455,834
  4. Step 4: Simplify right side
    211,078x = 207,784,635,556
  5. Step 5: Solve for x
    x = 207,784,635,556/211,078
  6. Step 6: Final answer
    x = 984,397.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.