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Finding the Third Proportional to 223,094 and 486,806

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Solution

The third proportional to 223,094 and 486,806 is: 1,062,243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,094 : 486,806 = 486,806 : x
  2. Step 2: Convert to fraction form
    223,094/486,806 = 486,806/x
  3. Step 3: Cross multiply
    223,094x = 486,806 × 486,806
  4. Step 4: Simplify right side
    223,094x = 236,980,081,636
  5. Step 5: Solve for x
    x = 236,980,081,636/223,094
  6. Step 6: Final answer
    x = 1,062,243.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.