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Finding the Third Proportional to 218,259 and 482,404

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Solution

The third proportional to 218,259 and 482,404 is: 1,066,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,259 : 482,404 = 482,404 : x
  2. Step 2: Convert to fraction form
    218,259/482,404 = 482,404/x
  3. Step 3: Cross multiply
    218,259x = 482,404 × 482,404
  4. Step 4: Simplify right side
    218,259x = 232,713,619,216
  5. Step 5: Solve for x
    x = 232,713,619,216/218,259
  6. Step 6: Final answer
    x = 1,066,226.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.