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Finding the Third Proportional to 235,836 and 509,215.22

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Solution

The third proportional to 235,836 and 509,215.22 is: 1,099,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,836 : 509,215.22 = 509,215.22 : x
  2. Step 2: Convert to fraction form
    235,836/509,215.22 = 509,215.22/x
  3. Step 3: Cross multiply
    235,836x = 509,215.22 × 509,215.22
  4. Step 4: Simplify right side
    235,836x = 259,300,139,006.61
  5. Step 5: Solve for x
    x = 259,300,139,006.61/235,836
  6. Step 6: Final answer
    x = 1,099,493.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.