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Finding the Third Proportional to 209,996 and 460,819

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Solution

The third proportional to 209,996 and 460,819 is: 1,011,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,996 : 460,819 = 460,819 : x
  2. Step 2: Convert to fraction form
    209,996/460,819 = 460,819/x
  3. Step 3: Cross multiply
    209,996x = 460,819 × 460,819
  4. Step 4: Simplify right side
    209,996x = 212,354,150,761
  5. Step 5: Solve for x
    x = 212,354,150,761/209,996
  6. Step 6: Final answer
    x = 1,011,229.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.