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Finding the Third Proportional to 382,250 and 573,519

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Solution

The third proportional to 382,250 and 573,519 is: 860,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,250 : 573,519 = 573,519 : x
  2. Step 2: Convert to fraction form
    382,250/573,519 = 573,519/x
  3. Step 3: Cross multiply
    382,250x = 573,519 × 573,519
  4. Step 4: Simplify right side
    382,250x = 328,924,043,361
  5. Step 5: Solve for x
    x = 328,924,043,361/382,250
  6. Step 6: Final answer
    x = 860,494.55

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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.