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Finding the Third Proportional to 571,983 and 759,012.75

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Solution

The third proportional to 571,983 and 759,012.75 is: 1,007,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,983 : 759,012.75 = 759,012.75 : x
  2. Step 2: Convert to fraction form
    571,983/759,012.75 = 759,012.75/x
  3. Step 3: Cross multiply
    571,983x = 759,012.75 × 759,012.75
  4. Step 4: Simplify right side
    571,983x = 576,100,354,662.56
  5. Step 5: Solve for x
    x = 576,100,354,662.56/571,983
  6. Step 6: Final answer
    x = 1,007,198.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.