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Finding the Third Proportional to 216,531 and 482,274

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Solution

The third proportional to 216,531 and 482,274 is: 1,074,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,531 : 482,274 = 482,274 : x
  2. Step 2: Convert to fraction form
    216,531/482,274 = 482,274/x
  3. Step 3: Cross multiply
    216,531x = 482,274 × 482,274
  4. Step 4: Simplify right side
    216,531x = 232,588,211,076
  5. Step 5: Solve for x
    x = 232,588,211,076/216,531
  6. Step 6: Final answer
    x = 1,074,156.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.