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Finding the Third Proportional to 395,706 and 613,107

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Solution

The third proportional to 395,706 and 613,107 is: 949,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,706 : 613,107 = 613,107 : x
  2. Step 2: Convert to fraction form
    395,706/613,107 = 613,107/x
  3. Step 3: Cross multiply
    395,706x = 613,107 × 613,107
  4. Step 4: Simplify right side
    395,706x = 375,900,193,449
  5. Step 5: Solve for x
    x = 375,900,193,449/395,706
  6. Step 6: Final answer
    x = 949,948.18

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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.