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Finding the Third Proportional to 394,765 and 599,532.50

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Solution

The third proportional to 394,765 and 599,532.50 is: 910,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,765 : 599,532.50 = 599,532.50 : x
  2. Step 2: Convert to fraction form
    394,765/599,532.50 = 599,532.50/x
  3. Step 3: Cross multiply
    394,765x = 599,532.50 × 599,532.50
  4. Step 4: Simplify right side
    394,765x = 359,439,218,556.25
  5. Step 5: Solve for x
    x = 359,439,218,556.25/394,765
  6. Step 6: Final answer
    x = 910,514.40

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.