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Finding the Third Proportional to 365,502 and 548,253

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Solution

The third proportional to 365,502 and 548,253 is: 822,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,502 : 548,253 = 548,253 : x
  2. Step 2: Convert to fraction form
    365,502/548,253 = 548,253/x
  3. Step 3: Cross multiply
    365,502x = 548,253 × 548,253
  4. Step 4: Simplify right side
    365,502x = 300,581,352,009
  5. Step 5: Solve for x
    x = 300,581,352,009/365,502
  6. Step 6: Final answer
    x = 822,379.50

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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.