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Finding the Third Proportional to 294,642 and 624,336

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Solution

The third proportional to 294,642 and 624,336 is: 1,322,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,642 : 624,336 = 624,336 : x
  2. Step 2: Convert to fraction form
    294,642/624,336 = 624,336/x
  3. Step 3: Cross multiply
    294,642x = 624,336 × 624,336
  4. Step 4: Simplify right side
    294,642x = 389,795,440,896
  5. Step 5: Solve for x
    x = 389,795,440,896/294,642
  6. Step 6: Final answer
    x = 1,322,945.95

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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.