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Finding the Third Proportional to 320,100.75 and 669,604.50

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Solution

The third proportional to 320,100.75 and 669,604.50 is: 1,400,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,100.75 : 669,604.50 = 669,604.50 : x
  2. Step 2: Convert to fraction form
    320,100.75/669,604.50 = 669,604.50/x
  3. Step 3: Cross multiply
    320,100.75x = 669,604.50 × 669,604.50
  4. Step 4: Simplify right side
    320,100.75x = 448,370,186,420.25
  5. Step 5: Solve for x
    x = 448,370,186,420.25/320,100.75
  6. Step 6: Final answer
    x = 1,400,715.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.