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Finding the Third Proportional to 395,022 and 606,780

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Solution

The third proportional to 395,022 and 606,780 is: 932,054.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,022 : 606,780 = 606,780 : x
  2. Step 2: Convert to fraction form
    395,022/606,780 = 606,780/x
  3. Step 3: Cross multiply
    395,022x = 606,780 × 606,780
  4. Step 4: Simplify right side
    395,022x = 368,181,968,400
  5. Step 5: Solve for x
    x = 368,181,968,400/395,022
  6. Step 6: Final answer
    x = 932,054.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.