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Finding the Third Proportional to 332,602 and 498,389.75

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Solution

The third proportional to 332,602 and 498,389.75 is: 746,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,602 : 498,389.75 = 498,389.75 : x
  2. Step 2: Convert to fraction form
    332,602/498,389.75 = 498,389.75/x
  3. Step 3: Cross multiply
    332,602x = 498,389.75 × 498,389.75
  4. Step 4: Simplify right side
    332,602x = 248,392,342,905.06
  5. Step 5: Solve for x
    x = 248,392,342,905.06/332,602
  6. Step 6: Final answer
    x = 746,815.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.