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Finding the Third Proportional to 218,178 and 479,232

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Solution

The third proportional to 218,178 and 479,232 is: 1,052,641.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,178 : 479,232 = 479,232 : x
  2. Step 2: Convert to fraction form
    218,178/479,232 = 479,232/x
  3. Step 3: Cross multiply
    218,178x = 479,232 × 479,232
  4. Step 4: Simplify right side
    218,178x = 229,663,309,824
  5. Step 5: Solve for x
    x = 229,663,309,824/218,178
  6. Step 6: Final answer
    x = 1,052,641.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.