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Finding the Third Proportional to 380,016 and 601,713

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Solution

The third proportional to 380,016 and 601,713 is: 952,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,016 : 601,713 = 601,713 : x
  2. Step 2: Convert to fraction form
    380,016/601,713 = 601,713/x
  3. Step 3: Cross multiply
    380,016x = 601,713 × 601,713
  4. Step 4: Simplify right side
    380,016x = 362,058,534,369
  5. Step 5: Solve for x
    x = 362,058,534,369/380,016
  6. Step 6: Final answer
    x = 952,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.