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Finding the Third Proportional to 260,124 and 559,056

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Solution

The third proportional to 260,124 and 559,056 is: 1,201,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,124 : 559,056 = 559,056 : x
  2. Step 2: Convert to fraction form
    260,124/559,056 = 559,056/x
  3. Step 3: Cross multiply
    260,124x = 559,056 × 559,056
  4. Step 4: Simplify right side
    260,124x = 312,543,611,136
  5. Step 5: Solve for x
    x = 312,543,611,136/260,124
  6. Step 6: Final answer
    x = 1,201,517.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.