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Finding the Third Proportional to 238,848 and 514,992

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Solution

The third proportional to 238,848 and 514,992 is: 1,110,399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,848 : 514,992 = 514,992 : x
  2. Step 2: Convert to fraction form
    238,848/514,992 = 514,992/x
  3. Step 3: Cross multiply
    238,848x = 514,992 × 514,992
  4. Step 4: Simplify right side
    238,848x = 265,216,760,064
  5. Step 5: Solve for x
    x = 265,216,760,064/238,848
  6. Step 6: Final answer
    x = 1,110,399.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.