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Finding the Third Proportional to 412,450.50 and 603,909

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Solution

The third proportional to 412,450.50 and 603,909 is: 884,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,450.50 : 603,909 = 603,909 : x
  2. Step 2: Convert to fraction form
    412,450.50/603,909 = 603,909/x
  3. Step 3: Cross multiply
    412,450.50x = 603,909 × 603,909
  4. Step 4: Simplify right side
    412,450.50x = 364,706,080,281
  5. Step 5: Solve for x
    x = 364,706,080,281/412,450.50
  6. Step 6: Final answer
    x = 884,242.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.