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Finding the Third Proportional to 196,566.75 and 462,074.63

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Solution

The third proportional to 196,566.75 and 462,074.63 is: 1,086,210.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,566.75 : 462,074.63 = 462,074.63 : x
  2. Step 2: Convert to fraction form
    196,566.75/462,074.63 = 462,074.63/x
  3. Step 3: Cross multiply
    196,566.75x = 462,074.63 × 462,074.63
  4. Step 4: Simplify right side
    196,566.75x = 213,512,959,068.89
  5. Step 5: Solve for x
    x = 213,512,959,068.89/196,566.75
  6. Step 6: Final answer
    x = 1,086,210.96

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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.