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Finding the Third Proportional to 237,765.94 and 483,835.50

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Solution

The third proportional to 237,765.94 and 483,835.50 is: 984,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,765.94 : 483,835.50 = 483,835.50 : x
  2. Step 2: Convert to fraction form
    237,765.94/483,835.50 = 483,835.50/x
  3. Step 3: Cross multiply
    237,765.94x = 483,835.50 × 483,835.50
  4. Step 4: Simplify right side
    237,765.94x = 234,096,791,060.25
  5. Step 5: Solve for x
    x = 234,096,791,060.25/237,765.94
  6. Step 6: Final answer
    x = 984,568.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.