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Finding the Third Proportional to 366,178.50 and 548,907.75

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Solution

The third proportional to 366,178.50 and 548,907.75 is: 822,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,178.50 : 548,907.75 = 548,907.75 : x
  2. Step 2: Convert to fraction form
    366,178.50/548,907.75 = 548,907.75/x
  3. Step 3: Cross multiply
    366,178.50x = 548,907.75 × 548,907.75
  4. Step 4: Simplify right side
    366,178.50x = 301,299,718,010.06
  5. Step 5: Solve for x
    x = 301,299,718,010.06/366,178.50
  6. Step 6: Final answer
    x = 822,821.98

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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.