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Finding the Third Proportional to 388,567 and 836,182.50

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Solution

The third proportional to 388,567 and 836,182.50 is: 1,799,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,567 : 836,182.50 = 836,182.50 : x
  2. Step 2: Convert to fraction form
    388,567/836,182.50 = 836,182.50/x
  3. Step 3: Cross multiply
    388,567x = 836,182.50 × 836,182.50
  4. Step 4: Simplify right side
    388,567x = 699,201,173,306.25
  5. Step 5: Solve for x
    x = 699,201,173,306.25/388,567
  6. Step 6: Final answer
    x = 1,799,435.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.