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Finding the Third Proportional to 530,651.25 and 1,145,365.31

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Solution

The third proportional to 530,651.25 and 1,145,365.31 is: 2,472,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,651.25 : 1,145,365.31 = 1,145,365.31 : x
  2. Step 2: Convert to fraction form
    530,651.25/1,145,365.31 = 1,145,365.31/x
  3. Step 3: Cross multiply
    530,651.25x = 1,145,365.31 × 1,145,365.31
  4. Step 4: Simplify right side
    530,651.25x = 1,311,861,699,078.22
  5. Step 5: Solve for x
    x = 1,311,861,699,078.22/530,651.25
  6. Step 6: Final answer
    x = 2,472,173.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.