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Finding the Third Proportional to 323,812.69 and 507,942.14

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Solution

The third proportional to 323,812.69 and 507,942.14 is: 796,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,812.69 : 507,942.14 = 507,942.14 : x
  2. Step 2: Convert to fraction form
    323,812.69/507,942.14 = 507,942.14/x
  3. Step 3: Cross multiply
    323,812.69x = 507,942.14 × 507,942.14
  4. Step 4: Simplify right side
    323,812.69x = 258,005,218,222.71
  5. Step 5: Solve for x
    x = 258,005,218,222.71/323,812.69
  6. Step 6: Final answer
    x = 796,773.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.