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Finding the Third Proportional to 382,954 and 536,639

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Solution

The third proportional to 382,954 and 536,639 is: 752,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,954 : 536,639 = 536,639 : x
  2. Step 2: Convert to fraction form
    382,954/536,639 = 536,639/x
  3. Step 3: Cross multiply
    382,954x = 536,639 × 536,639
  4. Step 4: Simplify right side
    382,954x = 287,981,416,321
  5. Step 5: Solve for x
    x = 287,981,416,321/382,954
  6. Step 6: Final answer
    x = 752,000.02

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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.