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Finding the Third Proportional to 244,096 and 500,083

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Solution

The third proportional to 244,096 and 500,083 is: 1,024,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,096 : 500,083 = 500,083 : x
  2. Step 2: Convert to fraction form
    244,096/500,083 = 500,083/x
  3. Step 3: Cross multiply
    244,096x = 500,083 × 500,083
  4. Step 4: Simplify right side
    244,096x = 250,083,006,889
  5. Step 5: Solve for x
    x = 250,083,006,889/244,096
  6. Step 6: Final answer
    x = 1,024,527.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.