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Finding the Third Proportional to 441,136 and 701,096

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Solution

The third proportional to 441,136 and 701,096 is: 1,114,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,136 : 701,096 = 701,096 : x
  2. Step 2: Convert to fraction form
    441,136/701,096 = 701,096/x
  3. Step 3: Cross multiply
    441,136x = 701,096 × 701,096
  4. Step 4: Simplify right side
    441,136x = 491,535,601,216
  5. Step 5: Solve for x
    x = 491,535,601,216/441,136
  6. Step 6: Final answer
    x = 1,114,249.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.