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Finding the Third Proportional to 260,344 and 536,236

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Solution

The third proportional to 260,344 and 536,236 is: 1,104,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,344 : 536,236 = 536,236 : x
  2. Step 2: Convert to fraction form
    260,344/536,236 = 536,236/x
  3. Step 3: Cross multiply
    260,344x = 536,236 × 536,236
  4. Step 4: Simplify right side
    260,344x = 287,549,047,696
  5. Step 5: Solve for x
    x = 287,549,047,696/260,344
  6. Step 6: Final answer
    x = 1,104,496.54

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.