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Finding the Third Proportional to 410,880 and 576,912

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Solution

The third proportional to 410,880 and 576,912 is: 810,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,880 : 576,912 = 576,912 : x
  2. Step 2: Convert to fraction form
    410,880/576,912 = 576,912/x
  3. Step 3: Cross multiply
    410,880x = 576,912 × 576,912
  4. Step 4: Simplify right side
    410,880x = 332,827,455,744
  5. Step 5: Solve for x
    x = 332,827,455,744/410,880
  6. Step 6: Final answer
    x = 810,035.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.