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Finding the Third Proportional to 292,644.73 and 638,468.56

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Solution

The third proportional to 292,644.73 and 638,468.56 is: 1,392,958.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,644.73 : 638,468.56 = 638,468.56 : x
  2. Step 2: Convert to fraction form
    292,644.73/638,468.56 = 638,468.56/x
  3. Step 3: Cross multiply
    292,644.73x = 638,468.56 × 638,468.56
  4. Step 4: Simplify right side
    292,644.73x = 407,642,100,001.08
  5. Step 5: Solve for x
    x = 407,642,100,001.08/292,644.73
  6. Step 6: Final answer
    x = 1,392,958.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.