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Finding the Third Proportional to 501,287.50 and 1,082,477

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Solution

The third proportional to 501,287.50 and 1,082,477 is: 2,337,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,287.50 : 1,082,477 = 1,082,477 : x
  2. Step 2: Convert to fraction form
    501,287.50/1,082,477 = 1,082,477/x
  3. Step 3: Cross multiply
    501,287.50x = 1,082,477 × 1,082,477
  4. Step 4: Simplify right side
    501,287.50x = 1,171,756,455,529
  5. Step 5: Solve for x
    x = 1,171,756,455,529/501,287.50
  6. Step 6: Final answer
    x = 2,337,493.86

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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.