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Finding the Third Proportional to 395,405 and 612,770

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Solution

The third proportional to 395,405 and 612,770 is: 949,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,405 : 612,770 = 612,770 : x
  2. Step 2: Convert to fraction form
    395,405/612,770 = 612,770/x
  3. Step 3: Cross multiply
    395,405x = 612,770 × 612,770
  4. Step 4: Simplify right side
    395,405x = 375,487,072,900
  5. Step 5: Solve for x
    x = 375,487,072,900/395,405
  6. Step 6: Final answer
    x = 949,626.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.