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Finding the Third Proportional to 216,534 and 482,280

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Solution

The third proportional to 216,534 and 482,280 is: 1,074,168.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,534 : 482,280 = 482,280 : x
  2. Step 2: Convert to fraction form
    216,534/482,280 = 482,280/x
  3. Step 3: Cross multiply
    216,534x = 482,280 × 482,280
  4. Step 4: Simplify right side
    216,534x = 232,593,998,400
  5. Step 5: Solve for x
    x = 232,593,998,400/216,534
  6. Step 6: Final answer
    x = 1,074,168.48

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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.