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Finding the Third Proportional to 219,024 and 480,816

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Solution

The third proportional to 219,024 and 480,816 is: 1,055,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,024 : 480,816 = 480,816 : x
  2. Step 2: Convert to fraction form
    219,024/480,816 = 480,816/x
  3. Step 3: Cross multiply
    219,024x = 480,816 × 480,816
  4. Step 4: Simplify right side
    219,024x = 231,184,025,856
  5. Step 5: Solve for x
    x = 231,184,025,856/219,024
  6. Step 6: Final answer
    x = 1,055,519.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.