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Finding the Third Proportional to 304,581 and 669,912

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Solution

The third proportional to 304,581 and 669,912 is: 1,473,440.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,581 : 669,912 = 669,912 : x
  2. Step 2: Convert to fraction form
    304,581/669,912 = 669,912/x
  3. Step 3: Cross multiply
    304,581x = 669,912 × 669,912
  4. Step 4: Simplify right side
    304,581x = 448,782,087,744
  5. Step 5: Solve for x
    x = 448,782,087,744/304,581
  6. Step 6: Final answer
    x = 1,473,440.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.