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Finding the Third Proportional to 223,090 and 486,796

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Solution

The third proportional to 223,090 and 486,796 is: 1,062,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,090 : 486,796 = 486,796 : x
  2. Step 2: Convert to fraction form
    223,090/486,796 = 486,796/x
  3. Step 3: Cross multiply
    223,090x = 486,796 × 486,796
  4. Step 4: Simplify right side
    223,090x = 236,970,345,616
  5. Step 5: Solve for x
    x = 236,970,345,616/223,090
  6. Step 6: Final answer
    x = 1,062,218.59

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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.