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Finding the Third Proportional to 231,913 and 498,886

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Solution

The third proportional to 231,913 and 498,886 is: 1,073,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,913 : 498,886 = 498,886 : x
  2. Step 2: Convert to fraction form
    231,913/498,886 = 498,886/x
  3. Step 3: Cross multiply
    231,913x = 498,886 × 498,886
  4. Step 4: Simplify right side
    231,913x = 248,887,240,996
  5. Step 5: Solve for x
    x = 248,887,240,996/231,913
  6. Step 6: Final answer
    x = 1,073,192.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.