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Finding the Third Proportional to 216,432 and 472,228

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Solution

The third proportional to 216,432 and 472,228 is: 1,030,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,432 : 472,228 = 472,228 : x
  2. Step 2: Convert to fraction form
    216,432/472,228 = 472,228/x
  3. Step 3: Cross multiply
    216,432x = 472,228 × 472,228
  4. Step 4: Simplify right side
    216,432x = 222,999,283,984
  5. Step 5: Solve for x
    x = 222,999,283,984/216,432
  6. Step 6: Final answer
    x = 1,030,343.41

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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.