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Finding the Third Proportional to 388,584 and 795,960

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Solution

The third proportional to 388,584 and 795,960 is: 1,630,412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,584 : 795,960 = 795,960 : x
  2. Step 2: Convert to fraction form
    388,584/795,960 = 795,960/x
  3. Step 3: Cross multiply
    388,584x = 795,960 × 795,960
  4. Step 4: Simplify right side
    388,584x = 633,552,321,600
  5. Step 5: Solve for x
    x = 633,552,321,600/388,584
  6. Step 6: Final answer
    x = 1,630,412.78

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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.