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Finding the Third Proportional to 301,792 and 663,824

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Solution

The third proportional to 301,792 and 663,824 is: 1,460,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,792 : 663,824 = 663,824 : x
  2. Step 2: Convert to fraction form
    301,792/663,824 = 663,824/x
  3. Step 3: Cross multiply
    301,792x = 663,824 × 663,824
  4. Step 4: Simplify right side
    301,792x = 440,662,302,976
  5. Step 5: Solve for x
    x = 440,662,302,976/301,792
  6. Step 6: Final answer
    x = 1,460,152.37

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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.