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Finding the Third Proportional to 399,499.88 and 858,291.75

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Solution

The third proportional to 399,499.88 and 858,291.75 is: 1,843,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,499.88 : 858,291.75 = 858,291.75 : x
  2. Step 2: Convert to fraction form
    399,499.88/858,291.75 = 858,291.75/x
  3. Step 3: Cross multiply
    399,499.88x = 858,291.75 × 858,291.75
  4. Step 4: Simplify right side
    399,499.88x = 736,664,728,118.06
  5. Step 5: Solve for x
    x = 736,664,728,118.06/399,499.88
  6. Step 6: Final answer
    x = 1,843,967.36

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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.