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Finding the Third Proportional to 293,164 and 638,996

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Solution

The third proportional to 293,164 and 638,996 is: 1,392,790.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,164 : 638,996 = 638,996 : x
  2. Step 2: Convert to fraction form
    293,164/638,996 = 638,996/x
  3. Step 3: Cross multiply
    293,164x = 638,996 × 638,996
  4. Step 4: Simplify right side
    293,164x = 408,315,888,016
  5. Step 5: Solve for x
    x = 408,315,888,016/293,164
  6. Step 6: Final answer
    x = 1,392,790.00

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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.