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Finding the Third Proportional to 199,904.63 and 471,906

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Solution

The third proportional to 199,904.63 and 471,906 is: 1,114,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,904.63 : 471,906 = 471,906 : x
  2. Step 2: Convert to fraction form
    199,904.63/471,906 = 471,906/x
  3. Step 3: Cross multiply
    199,904.63x = 471,906 × 471,906
  4. Step 4: Simplify right side
    199,904.63x = 222,695,272,836
  5. Step 5: Solve for x
    x = 222,695,272,836/199,904.63
  6. Step 6: Final answer
    x = 1,114,007.61

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.