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Finding the Third Proportional to 365,716 and 548,574

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Solution

The third proportional to 365,716 and 548,574 is: 822,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,716 : 548,574 = 548,574 : x
  2. Step 2: Convert to fraction form
    365,716/548,574 = 548,574/x
  3. Step 3: Cross multiply
    365,716x = 548,574 × 548,574
  4. Step 4: Simplify right side
    365,716x = 300,933,433,476
  5. Step 5: Solve for x
    x = 300,933,433,476/365,716
  6. Step 6: Final answer
    x = 822,861

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.