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Finding the Third Proportional to 325,704 and 704,112

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Solution

The third proportional to 325,704 and 704,112 is: 1,522,160.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,704 : 704,112 = 704,112 : x
  2. Step 2: Convert to fraction form
    325,704/704,112 = 704,112/x
  3. Step 3: Cross multiply
    325,704x = 704,112 × 704,112
  4. Step 4: Simplify right side
    325,704x = 495,773,708,544
  5. Step 5: Solve for x
    x = 495,773,708,544/325,704
  6. Step 6: Final answer
    x = 1,522,160.33

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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.