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Finding the Third Proportional to 498,873.75 and 886,939.50

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Solution

The third proportional to 498,873.75 and 886,939.50 is: 1,576,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,873.75 : 886,939.50 = 886,939.50 : x
  2. Step 2: Convert to fraction form
    498,873.75/886,939.50 = 886,939.50/x
  3. Step 3: Cross multiply
    498,873.75x = 886,939.50 × 886,939.50
  4. Step 4: Simplify right side
    498,873.75x = 786,661,676,660.25
  5. Step 5: Solve for x
    x = 786,661,676,660.25/498,873.75
  6. Step 6: Final answer
    x = 1,576,875.26

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.