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Finding the Third Proportional to 330,450 and 525,201

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Solution

The third proportional to 330,450 and 525,201 is: 834,728.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,450 : 525,201 = 525,201 : x
  2. Step 2: Convert to fraction form
    330,450/525,201 = 525,201/x
  3. Step 3: Cross multiply
    330,450x = 525,201 × 525,201
  4. Step 4: Simplify right side
    330,450x = 275,836,090,401
  5. Step 5: Solve for x
    x = 275,836,090,401/330,450
  6. Step 6: Final answer
    x = 834,728.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.