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Finding the Third Proportional to 412,453.69 and 603,914.06

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Solution

The third proportional to 412,453.69 and 603,914.06 is: 884,250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,453.69 : 603,914.06 = 603,914.06 : x
  2. Step 2: Convert to fraction form
    412,453.69/603,914.06 = 603,914.06/x
  3. Step 3: Cross multiply
    412,453.69x = 603,914.06 × 603,914.06
  4. Step 4: Simplify right side
    412,453.69x = 364,712,194,885.25
  5. Step 5: Solve for x
    x = 364,712,194,885.25/412,453.69
  6. Step 6: Final answer
    x = 884,250.05

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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.