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Finding the Third Proportional to 229,392 and 474,912

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Solution

The third proportional to 229,392 and 474,912 is: 983,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,392 : 474,912 = 474,912 : x
  2. Step 2: Convert to fraction form
    229,392/474,912 = 474,912/x
  3. Step 3: Cross multiply
    229,392x = 474,912 × 474,912
  4. Step 4: Simplify right side
    229,392x = 225,541,407,744
  5. Step 5: Solve for x
    x = 225,541,407,744/229,392
  6. Step 6: Final answer
    x = 983,213.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.