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Finding the Third Proportional to 365,490 and 548,234

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Solution

The third proportional to 365,490 and 548,234 is: 822,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,490 : 548,234 = 548,234 : x
  2. Step 2: Convert to fraction form
    365,490/548,234 = 548,234/x
  3. Step 3: Cross multiply
    365,490x = 548,234 × 548,234
  4. Step 4: Simplify right side
    365,490x = 300,560,518,756
  5. Step 5: Solve for x
    x = 300,560,518,756/365,490
  6. Step 6: Final answer
    x = 822,349.50

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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.