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Finding the Third Proportional to 296,754 and 628,824

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Solution

The third proportional to 296,754 and 628,824 is: 1,332,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,754 : 628,824 = 628,824 : x
  2. Step 2: Convert to fraction form
    296,754/628,824 = 628,824/x
  3. Step 3: Cross multiply
    296,754x = 628,824 × 628,824
  4. Step 4: Simplify right side
    296,754x = 395,419,622,976
  5. Step 5: Solve for x
    x = 395,419,622,976/296,754
  6. Step 6: Final answer
    x = 1,332,482.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.