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Finding the Third Proportional to 501,306.75 and 1,082,513.25

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Solution

The third proportional to 501,306.75 and 1,082,513.25 is: 2,337,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,306.75 : 1,082,513.25 = 1,082,513.25 : x
  2. Step 2: Convert to fraction form
    501,306.75/1,082,513.25 = 1,082,513.25/x
  3. Step 3: Cross multiply
    501,306.75x = 1,082,513.25 × 1,082,513.25
  4. Step 4: Simplify right side
    501,306.75x = 1,171,834,936,425.56
  5. Step 5: Solve for x
    x = 1,171,834,936,425.56/501,306.75
  6. Step 6: Final answer
    x = 2,337,560.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.