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Finding the Third Proportional to 304,036 and 703,772

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Solution

The third proportional to 304,036 and 703,772 is: 1,629,067.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,036 : 703,772 = 703,772 : x
  2. Step 2: Convert to fraction form
    304,036/703,772 = 703,772/x
  3. Step 3: Cross multiply
    304,036x = 703,772 × 703,772
  4. Step 4: Simplify right side
    304,036x = 495,295,027,984
  5. Step 5: Solve for x
    x = 495,295,027,984/304,036
  6. Step 6: Final answer
    x = 1,629,067.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.