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Finding the Third Proportional to 395,034 and 606,795

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Solution

The third proportional to 395,034 and 606,795 is: 932,072.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,034 : 606,795 = 606,795 : x
  2. Step 2: Convert to fraction form
    395,034/606,795 = 606,795/x
  3. Step 3: Cross multiply
    395,034x = 606,795 × 606,795
  4. Step 4: Simplify right side
    395,034x = 368,200,172,025
  5. Step 5: Solve for x
    x = 368,200,172,025/395,034
  6. Step 6: Final answer
    x = 932,072.11

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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.