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Finding the Third Proportional to 498,362.63 and 1,061,970.75

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Solution

The third proportional to 498,362.63 and 1,061,970.75 is: 2,262,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,362.63 : 1,061,970.75 = 1,061,970.75 : x
  2. Step 2: Convert to fraction form
    498,362.63/1,061,970.75 = 1,061,970.75/x
  3. Step 3: Cross multiply
    498,362.63x = 1,061,970.75 × 1,061,970.75
  4. Step 4: Simplify right side
    498,362.63x = 1,127,781,873,855.56
  5. Step 5: Solve for x
    x = 1,127,781,873,855.56/498,362.63
  6. Step 6: Final answer
    x = 2,262,974.42

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.