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Finding the Third Proportional to 219,296.25 and 480,474

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Solution

The third proportional to 219,296.25 and 480,474 is: 1,052,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,296.25 : 480,474 = 480,474 : x
  2. Step 2: Convert to fraction form
    219,296.25/480,474 = 480,474/x
  3. Step 3: Cross multiply
    219,296.25x = 480,474 × 480,474
  4. Step 4: Simplify right side
    219,296.25x = 230,855,264,676
  5. Step 5: Solve for x
    x = 230,855,264,676/219,296.25
  6. Step 6: Final answer
    x = 1,052,709.59

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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.