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Finding the Third Proportional to 218,052 and 482,736

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Solution

The third proportional to 218,052 and 482,736 is: 1,068,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,052 : 482,736 = 482,736 : x
  2. Step 2: Convert to fraction form
    218,052/482,736 = 482,736/x
  3. Step 3: Cross multiply
    218,052x = 482,736 × 482,736
  4. Step 4: Simplify right side
    218,052x = 233,034,045,696
  5. Step 5: Solve for x
    x = 233,034,045,696/218,052
  6. Step 6: Final answer
    x = 1,068,708.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.