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Finding the Third Proportional to 218,257 and 482,400

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Solution

The third proportional to 218,257 and 482,400 is: 1,066,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,257 : 482,400 = 482,400 : x
  2. Step 2: Convert to fraction form
    218,257/482,400 = 482,400/x
  3. Step 3: Cross multiply
    218,257x = 482,400 × 482,400
  4. Step 4: Simplify right side
    218,257x = 232,709,760,000
  5. Step 5: Solve for x
    x = 232,709,760,000/218,257
  6. Step 6: Final answer
    x = 1,066,219.00

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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.