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Finding the Third Proportional to 399,093 and 619,628

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Solution

The third proportional to 399,093 and 619,628 is: 962,028.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,093 : 619,628 = 619,628 : x
  2. Step 2: Convert to fraction form
    399,093/619,628 = 619,628/x
  3. Step 3: Cross multiply
    399,093x = 619,628 × 619,628
  4. Step 4: Simplify right side
    399,093x = 383,938,858,384
  5. Step 5: Solve for x
    x = 383,938,858,384/399,093
  6. Step 6: Final answer
    x = 962,028.55

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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.