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Finding the Third Proportional to 393,189 and 597,079.50

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Solution

The third proportional to 393,189 and 597,079.50 is: 906,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,189 : 597,079.50 = 597,079.50 : x
  2. Step 2: Convert to fraction form
    393,189/597,079.50 = 597,079.50/x
  3. Step 3: Cross multiply
    393,189x = 597,079.50 × 597,079.50
  4. Step 4: Simplify right side
    393,189x = 356,503,929,320.25
  5. Step 5: Solve for x
    x = 356,503,929,320.25/393,189
  6. Step 6: Final answer
    x = 906,698.63

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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.