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Finding the Third Proportional to 338,770.50 and 464,529.50

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Solution

The third proportional to 338,770.50 and 464,529.50 is: 636,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,770.50 : 464,529.50 = 464,529.50 : x
  2. Step 2: Convert to fraction form
    338,770.50/464,529.50 = 464,529.50/x
  3. Step 3: Cross multiply
    338,770.50x = 464,529.50 × 464,529.50
  4. Step 4: Simplify right side
    338,770.50x = 215,787,656,370.25
  5. Step 5: Solve for x
    x = 215,787,656,370.25/338,770.50
  6. Step 6: Final answer
    x = 636,972.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.