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Finding the Third Proportional to 221,576 and 480,736

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Solution

The third proportional to 221,576 and 480,736 is: 1,043,015.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,576 : 480,736 = 480,736 : x
  2. Step 2: Convert to fraction form
    221,576/480,736 = 480,736/x
  3. Step 3: Cross multiply
    221,576x = 480,736 × 480,736
  4. Step 4: Simplify right side
    221,576x = 231,107,101,696
  5. Step 5: Solve for x
    x = 231,107,101,696/221,576
  6. Step 6: Final answer
    x = 1,043,015.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.