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Finding the Third Proportional to 225,136 and 480,404

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Solution

The third proportional to 225,136 and 480,404 is: 1,025,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,136 : 480,404 = 480,404 : x
  2. Step 2: Convert to fraction form
    225,136/480,404 = 480,404/x
  3. Step 3: Cross multiply
    225,136x = 480,404 × 480,404
  4. Step 4: Simplify right side
    225,136x = 230,788,003,216
  5. Step 5: Solve for x
    x = 230,788,003,216/225,136
  6. Step 6: Final answer
    x = 1,025,104.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.