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Finding the Third Proportional to 323,916.75 and 508,078.13

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Solution

The third proportional to 323,916.75 and 508,078.13 is: 796,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,916.75 : 508,078.13 = 508,078.13 : x
  2. Step 2: Convert to fraction form
    323,916.75/508,078.13 = 508,078.13/x
  3. Step 3: Cross multiply
    323,916.75x = 508,078.13 × 508,078.13
  4. Step 4: Simplify right side
    323,916.75x = 258,143,381,103.52
  5. Step 5: Solve for x
    x = 258,143,381,103.52/323,916.75
  6. Step 6: Final answer
    x = 796,943.60

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