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Finding the Third Proportional to 349,113.38 and 533,815.31

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Solution

The third proportional to 349,113.38 and 533,815.31 is: 816,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,113.38 : 533,815.31 = 533,815.31 : x
  2. Step 2: Convert to fraction form
    349,113.38/533,815.31 = 533,815.31/x
  3. Step 3: Cross multiply
    349,113.38x = 533,815.31 × 533,815.31
  4. Step 4: Simplify right side
    349,113.38x = 284,958,787,859.47
  5. Step 5: Solve for x
    x = 284,958,787,859.47/349,113.38
  6. Step 6: Final answer
    x = 816,235.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.