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Finding the Third Proportional to 524,697.75 and 810,237.94

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Solution

The third proportional to 524,697.75 and 810,237.94 is: 1,251,168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,697.75 : 810,237.94 = 810,237.94 : x
  2. Step 2: Convert to fraction form
    524,697.75/810,237.94 = 810,237.94/x
  3. Step 3: Cross multiply
    524,697.75x = 810,237.94 × 810,237.94
  4. Step 4: Simplify right side
    524,697.75x = 656,485,515,364.25
  5. Step 5: Solve for x
    x = 656,485,515,364.25/524,697.75
  6. Step 6: Final answer
    x = 1,251,168.92

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.