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Finding the Third Proportional to 216,522 and 475,486

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Solution

The third proportional to 216,522 and 475,486 is: 1,044,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,522 : 475,486 = 475,486 : x
  2. Step 2: Convert to fraction form
    216,522/475,486 = 475,486/x
  3. Step 3: Cross multiply
    216,522x = 475,486 × 475,486
  4. Step 4: Simplify right side
    216,522x = 226,086,936,196
  5. Step 5: Solve for x
    x = 226,086,936,196/216,522
  6. Step 6: Final answer
    x = 1,044,175.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.