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Finding the Third Proportional to 235,076.50 and 509,519

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Solution

The third proportional to 235,076.50 and 509,519 is: 1,104,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,076.50 : 509,519 = 509,519 : x
  2. Step 2: Convert to fraction form
    235,076.50/509,519 = 509,519/x
  3. Step 3: Cross multiply
    235,076.50x = 509,519 × 509,519
  4. Step 4: Simplify right side
    235,076.50x = 259,609,611,361
  5. Step 5: Solve for x
    x = 259,609,611,361/235,076.50
  6. Step 6: Final answer
    x = 1,104,362.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.