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Finding the Third Proportional to 365,505 and 548,258

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Solution

The third proportional to 365,505 and 548,258 is: 822,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,505 : 548,258 = 548,258 : x
  2. Step 2: Convert to fraction form
    365,505/548,258 = 548,258/x
  3. Step 3: Cross multiply
    365,505x = 548,258 × 548,258
  4. Step 4: Simplify right side
    365,505x = 300,586,834,564
  5. Step 5: Solve for x
    x = 300,586,834,564/365,505
  6. Step 6: Final answer
    x = 822,387.75

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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.