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Finding the Third Proportional to 541,978 and 805,105

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Solution

The third proportional to 541,978 and 805,105 is: 1,195,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,978 : 805,105 = 805,105 : x
  2. Step 2: Convert to fraction form
    541,978/805,105 = 805,105/x
  3. Step 3: Cross multiply
    541,978x = 805,105 × 805,105
  4. Step 4: Simplify right side
    541,978x = 648,194,061,025
  5. Step 5: Solve for x
    x = 648,194,061,025/541,978
  6. Step 6: Final answer
    x = 1,195,978.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.