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Finding the Third Proportional to 426,222 and 568,620

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Solution

The third proportional to 426,222 and 568,620 is: 758,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,222 : 568,620 = 568,620 : x
  2. Step 2: Convert to fraction form
    426,222/568,620 = 568,620/x
  3. Step 3: Cross multiply
    426,222x = 568,620 × 568,620
  4. Step 4: Simplify right side
    426,222x = 323,328,704,400
  5. Step 5: Solve for x
    x = 323,328,704,400/426,222
  6. Step 6: Final answer
    x = 758,592.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.