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Finding the Third Proportional to 366,219 and 548,970

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Solution

The third proportional to 366,219 and 548,970 is: 822,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,219 : 548,970 = 548,970 : x
  2. Step 2: Convert to fraction form
    366,219/548,970 = 548,970/x
  3. Step 3: Cross multiply
    366,219x = 548,970 × 548,970
  4. Step 4: Simplify right side
    366,219x = 301,368,060,900
  5. Step 5: Solve for x
    x = 301,368,060,900/366,219
  6. Step 6: Final answer
    x = 822,917.60

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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.