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Finding the Third Proportional to 355,527 and 768,190.50

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Solution

The third proportional to 355,527 and 768,190.50 is: 1,659,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,527 : 768,190.50 = 768,190.50 : x
  2. Step 2: Convert to fraction form
    355,527/768,190.50 = 768,190.50/x
  3. Step 3: Cross multiply
    355,527x = 768,190.50 × 768,190.50
  4. Step 4: Simplify right side
    355,527x = 590,116,644,290.25
  5. Step 5: Solve for x
    x = 590,116,644,290.25/355,527
  6. Step 6: Final answer
    x = 1,659,836.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.