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Finding the Third Proportional to 339,916.50 and 500,478.75

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Solution

The third proportional to 339,916.50 and 500,478.75 is: 736,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,916.50 : 500,478.75 = 500,478.75 : x
  2. Step 2: Convert to fraction form
    339,916.50/500,478.75 = 500,478.75/x
  3. Step 3: Cross multiply
    339,916.50x = 500,478.75 × 500,478.75
  4. Step 4: Simplify right side
    339,916.50x = 250,478,979,201.56
  5. Step 5: Solve for x
    x = 250,478,979,201.56/339,916.50
  6. Step 6: Final answer
    x = 736,883.85

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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.