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Finding the Third Proportional to 223,200 and 480,576

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Solution

The third proportional to 223,200 and 480,576 is: 1,034,736.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200 : 480,576 = 480,576 : x
  2. Step 2: Convert to fraction form
    223,200/480,576 = 480,576/x
  3. Step 3: Cross multiply
    223,200x = 480,576 × 480,576
  4. Step 4: Simplify right side
    223,200x = 230,953,291,776
  5. Step 5: Solve for x
    x = 230,953,291,776/223,200
  6. Step 6: Final answer
    x = 1,034,736.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.