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Finding the Third Proportional to 235,851.75 and 509,064.75

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Solution

The third proportional to 235,851.75 and 509,064.75 is: 1,098,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,851.75 : 509,064.75 = 509,064.75 : x
  2. Step 2: Convert to fraction form
    235,851.75/509,064.75 = 509,064.75/x
  3. Step 3: Cross multiply
    235,851.75x = 509,064.75 × 509,064.75
  4. Step 4: Simplify right side
    235,851.75x = 259,146,919,692.56
  5. Step 5: Solve for x
    x = 259,146,919,692.56/235,851.75
  6. Step 6: Final answer
    x = 1,098,770.39

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Why These Related Problems?

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