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Finding the Third Proportional to 557,344.50 and 775,509.75

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Solution

The third proportional to 557,344.50 and 775,509.75 is: 1,079,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,344.50 : 775,509.75 = 775,509.75 : x
  2. Step 2: Convert to fraction form
    557,344.50/775,509.75 = 775,509.75/x
  3. Step 3: Cross multiply
    557,344.50x = 775,509.75 × 775,509.75
  4. Step 4: Simplify right side
    557,344.50x = 601,415,372,345.06
  5. Step 5: Solve for x
    x = 601,415,372,345.06/557,344.50
  6. Step 6: Final answer
    x = 1,079,072.95

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.