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Finding the Third Proportional to 501,331.78 and 1,082,559.94

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Solution

The third proportional to 501,331.78 and 1,082,559.94 is: 2,337,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,331.78 : 1,082,559.94 = 1,082,559.94 : x
  2. Step 2: Convert to fraction form
    501,331.78/1,082,559.94 = 1,082,559.94/x
  3. Step 3: Cross multiply
    501,331.78x = 1,082,559.94 × 1,082,559.94
  4. Step 4: Simplify right side
    501,331.78x = 1,171,936,018,280.00
  5. Step 5: Solve for x
    x = 1,171,936,018,280.00/501,331.78
  6. Step 6: Final answer
    x = 2,337,645.57

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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.