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Finding the Third Proportional to 361,094 and 782,452

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Solution

The third proportional to 361,094 and 782,452 is: 1,695,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,094 : 782,452 = 782,452 : x
  2. Step 2: Convert to fraction form
    361,094/782,452 = 782,452/x
  3. Step 3: Cross multiply
    361,094x = 782,452 × 782,452
  4. Step 4: Simplify right side
    361,094x = 612,231,132,304
  5. Step 5: Solve for x
    x = 612,231,132,304/361,094
  6. Step 6: Final answer
    x = 1,695,489.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.