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Finding the Third Proportional to 368,016 and 548,130

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Solution

The third proportional to 368,016 and 548,130 is: 816,395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,016 : 548,130 = 548,130 : x
  2. Step 2: Convert to fraction form
    368,016/548,130 = 548,130/x
  3. Step 3: Cross multiply
    368,016x = 548,130 × 548,130
  4. Step 4: Simplify right side
    368,016x = 300,446,496,900
  5. Step 5: Solve for x
    x = 300,446,496,900/368,016
  6. Step 6: Final answer
    x = 816,395.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.