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Finding the Third Proportional to 550,318 and 822,947

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Solution

The third proportional to 550,318 and 822,947 is: 1,230,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,318 : 822,947 = 822,947 : x
  2. Step 2: Convert to fraction form
    550,318/822,947 = 822,947/x
  3. Step 3: Cross multiply
    550,318x = 822,947 × 822,947
  4. Step 4: Simplify right side
    550,318x = 677,241,764,809
  5. Step 5: Solve for x
    x = 677,241,764,809/550,318
  6. Step 6: Final answer
    x = 1,230,637.13

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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.