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Finding the Third Proportional to 224,452 and 491,136

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Solution

The third proportional to 224,452 and 491,136 is: 1,074,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,452 : 491,136 = 491,136 : x
  2. Step 2: Convert to fraction form
    224,452/491,136 = 491,136/x
  3. Step 3: Cross multiply
    224,452x = 491,136 × 491,136
  4. Step 4: Simplify right side
    224,452x = 241,214,570,496
  5. Step 5: Solve for x
    x = 241,214,570,496/224,452
  6. Step 6: Final answer
    x = 1,074,682.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.