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Finding the Third Proportional to 244,102 and 500,096

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Solution

The third proportional to 244,102 and 500,096 is: 1,024,555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,102 : 500,096 = 500,096 : x
  2. Step 2: Convert to fraction form
    244,102/500,096 = 500,096/x
  3. Step 3: Cross multiply
    244,102x = 500,096 × 500,096
  4. Step 4: Simplify right side
    244,102x = 250,096,009,216
  5. Step 5: Solve for x
    x = 250,096,009,216/244,102
  6. Step 6: Final answer
    x = 1,024,555.35

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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.