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Finding the Third Proportional to 270,752 and 624,016

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Solution

The third proportional to 270,752 and 624,016 is: 1,438,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,752 : 624,016 = 624,016 : x
  2. Step 2: Convert to fraction form
    270,752/624,016 = 624,016/x
  3. Step 3: Cross multiply
    270,752x = 624,016 × 624,016
  4. Step 4: Simplify right side
    270,752x = 389,395,968,256
  5. Step 5: Solve for x
    x = 389,395,968,256/270,752
  6. Step 6: Final answer
    x = 1,438,201.63

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.