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Finding the Third Proportional to 294,228,194 and 624,321,028

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Solution

The third proportional to 294,228,194 and 624,321,028 is: 1,324,743,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,228,194 : 624,321,028 = 624,321,028 : x
  2. Step 2: Convert to fraction form
    294,228,194/624,321,028 = 624,321,028/x
  3. Step 3: Cross multiply
    294,228,194x = 624,321,028 × 624,321,028
  4. Step 4: Simplify right side
    294,228,194x = 389,776,746,002,976,768
  5. Step 5: Solve for x
    x = 389,776,746,002,976,768/294,228,194
  6. Step 6: Final answer
    x = 1,324,743,019.03

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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.