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Finding the Third Proportional to 365,501 and 548,252

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Solution

The third proportional to 365,501 and 548,252 is: 822,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,501 : 548,252 = 548,252 : x
  2. Step 2: Convert to fraction form
    365,501/548,252 = 548,252/x
  3. Step 3: Cross multiply
    365,501x = 548,252 × 548,252
  4. Step 4: Simplify right side
    365,501x = 300,580,255,504
  5. Step 5: Solve for x
    x = 300,580,255,504/365,501
  6. Step 6: Final answer
    x = 822,378.75

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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.