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Finding the Third Proportional to 389,155.50 and 852,122

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Solution

The third proportional to 389,155.50 and 852,122 is: 1,865,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,155.50 : 852,122 = 852,122 : x
  2. Step 2: Convert to fraction form
    389,155.50/852,122 = 852,122/x
  3. Step 3: Cross multiply
    389,155.50x = 852,122 × 852,122
  4. Step 4: Simplify right side
    389,155.50x = 726,111,902,884
  5. Step 5: Solve for x
    x = 726,111,902,884/389,155.50
  6. Step 6: Final answer
    x = 1,865,865.71

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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.