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Finding the Third Proportional to 388,178.44 and 848,323.13

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Solution

The third proportional to 388,178.44 and 848,323.13 is: 1,853,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,178.44 : 848,323.13 = 848,323.13 : x
  2. Step 2: Convert to fraction form
    388,178.44/848,323.13 = 848,323.13/x
  3. Step 3: Cross multiply
    388,178.44x = 848,323.13 × 848,323.13
  4. Step 4: Simplify right side
    388,178.44x = 719,652,124,409.77
  5. Step 5: Solve for x
    x = 719,652,124,409.77/388,178.44
  6. Step 6: Final answer
    x = 1,853,920.92

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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.