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Finding the Third Proportional to 301,694 and 595,772

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Solution

The third proportional to 301,694 and 595,772 is: 1,176,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,694 : 595,772 = 595,772 : x
  2. Step 2: Convert to fraction form
    301,694/595,772 = 595,772/x
  3. Step 3: Cross multiply
    301,694x = 595,772 × 595,772
  4. Step 4: Simplify right side
    301,694x = 354,944,275,984
  5. Step 5: Solve for x
    x = 354,944,275,984/301,694
  6. Step 6: Final answer
    x = 1,176,504.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.