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Finding the Third Proportional to 196,565.63 and 462,071.25

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Solution

The third proportional to 196,565.63 and 462,071.25 is: 1,086,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,565.63 : 462,071.25 = 462,071.25 : x
  2. Step 2: Convert to fraction form
    196,565.63/462,071.25 = 462,071.25/x
  3. Step 3: Cross multiply
    196,565.63x = 462,071.25 × 462,071.25
  4. Step 4: Simplify right side
    196,565.63x = 213,509,840,076.56
  5. Step 5: Solve for x
    x = 213,509,840,076.56/196,565.63
  6. Step 6: Final answer
    x = 1,086,201.31

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.