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Finding the Third Proportional to 383,015 and 536,715

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Solution

The third proportional to 383,015 and 536,715 is: 752,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,015 : 536,715 = 536,715 : x
  2. Step 2: Convert to fraction form
    383,015/536,715 = 536,715/x
  3. Step 3: Cross multiply
    383,015x = 536,715 × 536,715
  4. Step 4: Simplify right side
    383,015x = 288,062,991,225
  5. Step 5: Solve for x
    x = 288,062,991,225/383,015
  6. Step 6: Final answer
    x = 752,093.24

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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.