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Finding the Third Proportional to 398,050.88 and 595,618.31

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Solution

The third proportional to 398,050.88 and 595,618.31 is: 891,245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,050.88 : 595,618.31 = 595,618.31 : x
  2. Step 2: Convert to fraction form
    398,050.88/595,618.31 = 595,618.31/x
  3. Step 3: Cross multiply
    398,050.88x = 595,618.31 × 595,618.31
  4. Step 4: Simplify right side
    398,050.88x = 354,761,174,185.35
  5. Step 5: Solve for x
    x = 354,761,174,185.35/398,050.88
  6. Step 6: Final answer
    x = 891,245.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.