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Finding the Third Proportional to 523,992 and 785,178

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Solution

The third proportional to 523,992 and 785,178 is: 1,176,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,992 : 785,178 = 785,178 : x
  2. Step 2: Convert to fraction form
    523,992/785,178 = 785,178/x
  3. Step 3: Cross multiply
    523,992x = 785,178 × 785,178
  4. Step 4: Simplify right side
    523,992x = 616,504,491,684
  5. Step 5: Solve for x
    x = 616,504,491,684/523,992
  6. Step 6: Final answer
    x = 1,176,553.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.