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Finding the Third Proportional to 388,514 and 792,827

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Solution

The third proportional to 388,514 and 792,827 is: 1,617,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,514 : 792,827 = 792,827 : x
  2. Step 2: Convert to fraction form
    388,514/792,827 = 792,827/x
  3. Step 3: Cross multiply
    388,514x = 792,827 × 792,827
  4. Step 4: Simplify right side
    388,514x = 628,574,651,929
  5. Step 5: Solve for x
    x = 628,574,651,929/388,514
  6. Step 6: Final answer
    x = 1,617,894.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.