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Finding the Third Proportional to 216,366 and 472,098

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Solution

The third proportional to 216,366 and 472,098 is: 1,030,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,366 : 472,098 = 472,098 : x
  2. Step 2: Convert to fraction form
    216,366/472,098 = 472,098/x
  3. Step 3: Cross multiply
    216,366x = 472,098 × 472,098
  4. Step 4: Simplify right side
    216,366x = 222,876,521,604
  5. Step 5: Solve for x
    x = 222,876,521,604/216,366
  6. Step 6: Final answer
    x = 1,030,090.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.