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Finding the Third Proportional to 343,424.50 and 504,846.74

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Solution

The third proportional to 343,424.50 and 504,846.74 is: 742,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,424.50 : 504,846.74 = 504,846.74 : x
  2. Step 2: Convert to fraction form
    343,424.50/504,846.74 = 504,846.74/x
  3. Step 3: Cross multiply
    343,424.50x = 504,846.74 × 504,846.74
  4. Step 4: Simplify right side
    343,424.50x = 254,870,229,153.22
  5. Step 5: Solve for x
    x = 254,870,229,153.22/343,424.50
  6. Step 6: Final answer
    x = 742,143.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.