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Finding the Third Proportional to 509,449.50 and 1,090,234.69

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Solution

The third proportional to 509,449.50 and 1,090,234.69 is: 2,333,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,449.50 : 1,090,234.69 = 1,090,234.69 : x
  2. Step 2: Convert to fraction form
    509,449.50/1,090,234.69 = 1,090,234.69/x
  3. Step 3: Cross multiply
    509,449.50x = 1,090,234.69 × 1,090,234.69
  4. Step 4: Simplify right side
    509,449.50x = 1,188,611,673,828.22
  5. Step 5: Solve for x
    x = 1,188,611,673,828.22/509,449.50
  6. Step 6: Final answer
    x = 2,333,129.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.