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Finding the Third Proportional to 388,062 and 832,824

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Solution

The third proportional to 388,062 and 832,824 is: 1,787,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,062 : 832,824 = 832,824 : x
  2. Step 2: Convert to fraction form
    388,062/832,824 = 832,824/x
  3. Step 3: Cross multiply
    388,062x = 832,824 × 832,824
  4. Step 4: Simplify right side
    388,062x = 693,595,814,976
  5. Step 5: Solve for x
    x = 693,595,814,976/388,062
  6. Step 6: Final answer
    x = 1,787,332.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.