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Finding the Third Proportional to 223,512 and 472,848

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Solution

The third proportional to 223,512 and 472,848 is: 1,000,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,512 : 472,848 = 472,848 : x
  2. Step 2: Convert to fraction form
    223,512/472,848 = 472,848/x
  3. Step 3: Cross multiply
    223,512x = 472,848 × 472,848
  4. Step 4: Simplify right side
    223,512x = 223,585,231,104
  5. Step 5: Solve for x
    x = 223,585,231,104/223,512
  6. Step 6: Final answer
    x = 1,000,327.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.