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Finding the Third Proportional to 216,282 and 462,456

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Solution

The third proportional to 216,282 and 462,456 is: 988,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,282 : 462,456 = 462,456 : x
  2. Step 2: Convert to fraction form
    216,282/462,456 = 462,456/x
  3. Step 3: Cross multiply
    216,282x = 462,456 × 462,456
  4. Step 4: Simplify right side
    216,282x = 213,865,551,936
  5. Step 5: Solve for x
    x = 213,865,551,936/216,282
  6. Step 6: Final answer
    x = 988,827.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.