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Finding the Third Proportional to 512,033.25 and 737,565.75

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Solution

The third proportional to 512,033.25 and 737,565.75 is: 1,062,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,033.25 : 737,565.75 = 737,565.75 : x
  2. Step 2: Convert to fraction form
    512,033.25/737,565.75 = 737,565.75/x
  3. Step 3: Cross multiply
    512,033.25x = 737,565.75 × 737,565.75
  4. Step 4: Simplify right side
    512,033.25x = 544,003,235,573.06
  5. Step 5: Solve for x
    x = 544,003,235,573.06/512,033.25
  6. Step 6: Final answer
    x = 1,062,437.32

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.