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Finding the Third Proportional to 219,287.25 and 480,454.88

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Solution

The third proportional to 219,287.25 and 480,454.88 is: 1,052,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,287.25 : 480,454.88 = 480,454.88 : x
  2. Step 2: Convert to fraction form
    219,287.25/480,454.88 = 480,454.88/x
  3. Step 3: Cross multiply
    219,287.25x = 480,454.88 × 480,454.88
  4. Step 4: Simplify right side
    219,287.25x = 230,836,886,911.27
  5. Step 5: Solve for x
    x = 230,836,886,911.27/219,287.25
  6. Step 6: Final answer
    x = 1,052,668.99

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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.