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Finding the Third Proportional to 412,267.50 and 630,662.63

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Solution

The third proportional to 412,267.50 and 630,662.63 is: 964,750.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,267.50 : 630,662.63 = 630,662.63 : x
  2. Step 2: Convert to fraction form
    412,267.50/630,662.63 = 630,662.63/x
  3. Step 3: Cross multiply
    412,267.50x = 630,662.63 × 630,662.63
  4. Step 4: Simplify right side
    412,267.50x = 397,735,346,571.89
  5. Step 5: Solve for x
    x = 397,735,346,571.89/412,267.50
  6. Step 6: Final answer
    x = 964,750.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.