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Finding the Third Proportional to 388,264 and 795,348

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Solution

The third proportional to 388,264 and 795,348 is: 1,629,248.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,264 : 795,348 = 795,348 : x
  2. Step 2: Convert to fraction form
    388,264/795,348 = 795,348/x
  3. Step 3: Cross multiply
    388,264x = 795,348 × 795,348
  4. Step 4: Simplify right side
    388,264x = 632,578,441,104
  5. Step 5: Solve for x
    x = 632,578,441,104/388,264
  6. Step 6: Final answer
    x = 1,629,248.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.