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Finding the Third Proportional to 218,016 and 509,508

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Solution

The third proportional to 218,016 and 509,508 is: 1,190,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,016 : 509,508 = 509,508 : x
  2. Step 2: Convert to fraction form
    218,016/509,508 = 509,508/x
  3. Step 3: Cross multiply
    218,016x = 509,508 × 509,508
  4. Step 4: Simplify right side
    218,016x = 259,598,402,064
  5. Step 5: Solve for x
    x = 259,598,402,064/218,016
  6. Step 6: Final answer
    x = 1,190,730.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.