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Finding the Third Proportional to 379,582 and 568,319

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Solution

The third proportional to 379,582 and 568,319 is: 850,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,582 : 568,319 = 568,319 : x
  2. Step 2: Convert to fraction form
    379,582/568,319 = 568,319/x
  3. Step 3: Cross multiply
    379,582x = 568,319 × 568,319
  4. Step 4: Simplify right side
    379,582x = 322,986,485,761
  5. Step 5: Solve for x
    x = 322,986,485,761/379,582
  6. Step 6: Final answer
    x = 850,900.43

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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.