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Finding the Third Proportional to 501,275.36 and 1,082,450.78

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Solution

The third proportional to 501,275.36 and 1,082,450.78 is: 2,337,437.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,275.36 : 1,082,450.78 = 1,082,450.78 : x
  2. Step 2: Convert to fraction form
    501,275.36/1,082,450.78 = 1,082,450.78/x
  3. Step 3: Cross multiply
    501,275.36x = 1,082,450.78 × 1,082,450.78
  4. Step 4: Simplify right side
    501,275.36x = 1,171,699,685,372.20
  5. Step 5: Solve for x
    x = 1,171,699,685,372.20/501,275.36
  6. Step 6: Final answer
    x = 2,337,437.24

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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.