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Finding the Third Proportional to 260,968 and 501,200

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Solution

The third proportional to 260,968 and 501,200 is: 962,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,968 : 501,200 = 501,200 : x
  2. Step 2: Convert to fraction form
    260,968/501,200 = 501,200/x
  3. Step 3: Cross multiply
    260,968x = 501,200 × 501,200
  4. Step 4: Simplify right side
    260,968x = 251,201,440,000
  5. Step 5: Solve for x
    x = 251,201,440,000/260,968
  6. Step 6: Final answer
    x = 962,575.64

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.