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Finding the Third Proportional to 398,602.50 and 867,189

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Solution

The third proportional to 398,602.50 and 867,189 is: 1,886,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,602.50 : 867,189 = 867,189 : x
  2. Step 2: Convert to fraction form
    398,602.50/867,189 = 867,189/x
  3. Step 3: Cross multiply
    398,602.50x = 867,189 × 867,189
  4. Step 4: Simplify right side
    398,602.50x = 752,016,761,721
  5. Step 5: Solve for x
    x = 752,016,761,721/398,602.50
  6. Step 6: Final answer
    x = 1,886,633.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.