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Finding the Third Proportional to 379,584 and 568,323

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Solution

The third proportional to 379,584 and 568,323 is: 850,907.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,584 : 568,323 = 568,323 : x
  2. Step 2: Convert to fraction form
    379,584/568,323 = 568,323/x
  3. Step 3: Cross multiply
    379,584x = 568,323 × 568,323
  4. Step 4: Simplify right side
    379,584x = 322,991,032,329
  5. Step 5: Solve for x
    x = 322,991,032,329/379,584
  6. Step 6: Final answer
    x = 850,907.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.