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Finding the Third Proportional to 211,421 and 440,284

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Solution

The third proportional to 211,421 and 440,284 is: 916,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,421 : 440,284 = 440,284 : x
  2. Step 2: Convert to fraction form
    211,421/440,284 = 440,284/x
  3. Step 3: Cross multiply
    211,421x = 440,284 × 440,284
  4. Step 4: Simplify right side
    211,421x = 193,850,000,656
  5. Step 5: Solve for x
    x = 193,850,000,656/211,421
  6. Step 6: Final answer
    x = 916,890.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.