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Finding the Third Proportional to 219,867.75 and 481,818.38

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Solution

The third proportional to 219,867.75 and 481,818.38 is: 1,055,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,867.75 : 481,818.38 = 481,818.38 : x
  2. Step 2: Convert to fraction form
    219,867.75/481,818.38 = 481,818.38/x
  3. Step 3: Cross multiply
    219,867.75x = 481,818.38 × 481,818.38
  4. Step 4: Simplify right side
    219,867.75x = 232,148,946,487.64
  5. Step 5: Solve for x
    x = 232,148,946,487.64/219,867.75
  6. Step 6: Final answer
    x = 1,055,857.20

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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.