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Finding the Third Proportional to 262,284 and 393,682

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Solution

The third proportional to 262,284 and 393,682 is: 590,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,284 : 393,682 = 393,682 : x
  2. Step 2: Convert to fraction form
    262,284/393,682 = 393,682/x
  3. Step 3: Cross multiply
    262,284x = 393,682 × 393,682
  4. Step 4: Simplify right side
    262,284x = 154,985,517,124
  5. Step 5: Solve for x
    x = 154,985,517,124/262,284
  6. Step 6: Final answer
    x = 590,907.25

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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.