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Finding the Third Proportional to 401,431.50 and 587,072.25

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Solution

The third proportional to 401,431.50 and 587,072.25 is: 858,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,431.50 : 587,072.25 = 587,072.25 : x
  2. Step 2: Convert to fraction form
    401,431.50/587,072.25 = 587,072.25/x
  3. Step 3: Cross multiply
    401,431.50x = 587,072.25 × 587,072.25
  4. Step 4: Simplify right side
    401,431.50x = 344,653,826,720.06
  5. Step 5: Solve for x
    x = 344,653,826,720.06/401,431.50
  6. Step 6: Final answer
    x = 858,561.99

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.