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Finding the Third Proportional to 244,050.75 and 499,994.75

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Solution

The third proportional to 244,050.75 and 499,994.75 is: 1,024,355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,050.75 : 499,994.75 = 499,994.75 : x
  2. Step 2: Convert to fraction form
    244,050.75/499,994.75 = 499,994.75/x
  3. Step 3: Cross multiply
    244,050.75x = 499,994.75 × 499,994.75
  4. Step 4: Simplify right side
    244,050.75x = 249,994,750,027.56
  5. Step 5: Solve for x
    x = 249,994,750,027.56/244,050.75
  6. Step 6: Final answer
    x = 1,024,355.59

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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.