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Finding the Third Proportional to 544,980 and 850,582

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Solution

The third proportional to 544,980 and 850,582 is: 1,327,552.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,980 : 850,582 = 850,582 : x
  2. Step 2: Convert to fraction form
    544,980/850,582 = 850,582/x
  3. Step 3: Cross multiply
    544,980x = 850,582 × 850,582
  4. Step 4: Simplify right side
    544,980x = 723,489,738,724
  5. Step 5: Solve for x
    x = 723,489,738,724/544,980
  6. Step 6: Final answer
    x = 1,327,552.83

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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.