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Finding the Third Proportional to 260,315 and 393,245

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Solution

The third proportional to 260,315 and 393,245 is: 594,055.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,315 : 393,245 = 393,245 : x
  2. Step 2: Convert to fraction form
    260,315/393,245 = 393,245/x
  3. Step 3: Cross multiply
    260,315x = 393,245 × 393,245
  4. Step 4: Simplify right side
    260,315x = 154,641,630,025
  5. Step 5: Solve for x
    x = 154,641,630,025/260,315
  6. Step 6: Final answer
    x = 594,055.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.