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Finding the Third Proportional to 365,724 and 548,586

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Solution

The third proportional to 365,724 and 548,586 is: 822,879

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,724 : 548,586 = 548,586 : x
  2. Step 2: Convert to fraction form
    365,724/548,586 = 548,586/x
  3. Step 3: Cross multiply
    365,724x = 548,586 × 548,586
  4. Step 4: Simplify right side
    365,724x = 300,946,599,396
  5. Step 5: Solve for x
    x = 300,946,599,396/365,724
  6. Step 6: Final answer
    x = 822,879

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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.