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Finding the Third Proportional to 544,992 and 850,596

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Solution

The third proportional to 544,992 and 850,596 is: 1,327,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,992 : 850,596 = 850,596 : x
  2. Step 2: Convert to fraction form
    544,992/850,596 = 850,596/x
  3. Step 3: Cross multiply
    544,992x = 850,596 × 850,596
  4. Step 4: Simplify right side
    544,992x = 723,513,555,216
  5. Step 5: Solve for x
    x = 723,513,555,216/544,992
  6. Step 6: Final answer
    x = 1,327,567.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.