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Finding the Third Proportional to 313,289.25 and 643,176.75

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Solution

The third proportional to 313,289.25 and 643,176.75 is: 1,320,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,289.25 : 643,176.75 = 643,176.75 : x
  2. Step 2: Convert to fraction form
    313,289.25/643,176.75 = 643,176.75/x
  3. Step 3: Cross multiply
    313,289.25x = 643,176.75 × 643,176.75
  4. Step 4: Simplify right side
    313,289.25x = 413,676,331,740.56
  5. Step 5: Solve for x
    x = 413,676,331,740.56/313,289.25
  6. Step 6: Final answer
    x = 1,320,429.39

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.