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Finding the Third Proportional to 380,120 and 601,866

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Solution

The third proportional to 380,120 and 601,866 is: 952,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,120 : 601,866 = 601,866 : x
  2. Step 2: Convert to fraction form
    380,120/601,866 = 601,866/x
  3. Step 3: Cross multiply
    380,120x = 601,866 × 601,866
  4. Step 4: Simplify right side
    380,120x = 362,242,681,956
  5. Step 5: Solve for x
    x = 362,242,681,956/380,120
  6. Step 6: Final answer
    x = 952,969.28

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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.