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Finding the Third Proportional to 213,198.47 and 466,455.09

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Solution

The third proportional to 213,198.47 and 466,455.09 is: 1,020,553.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,198.47 : 466,455.09 = 466,455.09 : x
  2. Step 2: Convert to fraction form
    213,198.47/466,455.09 = 466,455.09/x
  3. Step 3: Cross multiply
    213,198.47x = 466,455.09 × 466,455.09
  4. Step 4: Simplify right side
    213,198.47x = 217,580,354,485.32
  5. Step 5: Solve for x
    x = 217,580,354,485.32/213,198.47
  6. Step 6: Final answer
    x = 1,020,553.08

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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.