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Finding the Third Proportional to 223,857 and 486,661.50

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Solution

The third proportional to 223,857 and 486,661.50 is: 1,057,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,857 : 486,661.50 = 486,661.50 : x
  2. Step 2: Convert to fraction form
    223,857/486,661.50 = 486,661.50/x
  3. Step 3: Cross multiply
    223,857x = 486,661.50 × 486,661.50
  4. Step 4: Simplify right side
    223,857x = 236,839,415,582.25
  5. Step 5: Solve for x
    x = 236,839,415,582.25/223,857
  6. Step 6: Final answer
    x = 1,057,994.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.