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Finding the Third Proportional to 395,435 and 612,815

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Solution

The third proportional to 395,435 and 612,815 is: 949,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,435 : 612,815 = 612,815 : x
  2. Step 2: Convert to fraction form
    395,435/612,815 = 612,815/x
  3. Step 3: Cross multiply
    395,435x = 612,815 × 612,815
  4. Step 4: Simplify right side
    395,435x = 375,542,224,225
  5. Step 5: Solve for x
    x = 375,542,224,225/395,435
  6. Step 6: Final answer
    x = 949,693.94

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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.