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Finding the Third Proportional to 382,956 and 536,642

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Solution

The third proportional to 382,956 and 536,642 is: 752,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,956 : 536,642 = 536,642 : x
  2. Step 2: Convert to fraction form
    382,956/536,642 = 536,642/x
  3. Step 3: Cross multiply
    382,956x = 536,642 × 536,642
  4. Step 4: Simplify right side
    382,956x = 287,984,636,164
  5. Step 5: Solve for x
    x = 287,984,636,164/382,956
  6. Step 6: Final answer
    x = 752,004.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.