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Finding the Third Proportional to 395,058.50 and 867,013

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Solution

The third proportional to 395,058.50 and 867,013 is: 1,902,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,058.50 : 867,013 = 867,013 : x
  2. Step 2: Convert to fraction form
    395,058.50/867,013 = 867,013/x
  3. Step 3: Cross multiply
    395,058.50x = 867,013 × 867,013
  4. Step 4: Simplify right side
    395,058.50x = 751,711,542,169
  5. Step 5: Solve for x
    x = 751,711,542,169/395,058.50
  6. Step 6: Final answer
    x = 1,902,785.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.