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Finding the Third Proportional to 366,206 and 548,947

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Solution

The third proportional to 366,206 and 548,947 is: 822,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,206 : 548,947 = 548,947 : x
  2. Step 2: Convert to fraction form
    366,206/548,947 = 548,947/x
  3. Step 3: Cross multiply
    366,206x = 548,947 × 548,947
  4. Step 4: Simplify right side
    366,206x = 301,342,808,809
  5. Step 5: Solve for x
    x = 301,342,808,809/366,206
  6. Step 6: Final answer
    x = 822,877.86

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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.