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Finding the Third Proportional to 366,178 and 548,908

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Solution

The third proportional to 366,178 and 548,908 is: 822,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,178 : 548,908 = 548,908 : x
  2. Step 2: Convert to fraction form
    366,178/548,908 = 548,908/x
  3. Step 3: Cross multiply
    366,178x = 548,908 × 548,908
  4. Step 4: Simplify right side
    366,178x = 301,299,992,464
  5. Step 5: Solve for x
    x = 301,299,992,464/366,178
  6. Step 6: Final answer
    x = 822,823.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.