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Finding the Third Proportional to 365,376 and 548,064

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Solution

The third proportional to 365,376 and 548,064 is: 822,096

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,376 : 548,064 = 548,064 : x
  2. Step 2: Convert to fraction form
    365,376/548,064 = 548,064/x
  3. Step 3: Cross multiply
    365,376x = 548,064 × 548,064
  4. Step 4: Simplify right side
    365,376x = 300,374,148,096
  5. Step 5: Solve for x
    x = 300,374,148,096/365,376
  6. Step 6: Final answer
    x = 822,096

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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.