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Finding the Third Proportional to 412,908.75 and 603,427.50

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Solution

The third proportional to 412,908.75 and 603,427.50 is: 881,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,908.75 : 603,427.50 = 603,427.50 : x
  2. Step 2: Convert to fraction form
    412,908.75/603,427.50 = 603,427.50/x
  3. Step 3: Cross multiply
    412,908.75x = 603,427.50 × 603,427.50
  4. Step 4: Simplify right side
    412,908.75x = 364,124,747,756.25
  5. Step 5: Solve for x
    x = 364,124,747,756.25/412,908.75
  6. Step 6: Final answer
    x = 881,852.83

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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.