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Finding the Third Proportional to 304,060 and 703,824

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Solution

The third proportional to 304,060 and 703,824 is: 1,629,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,060 : 703,824 = 703,824 : x
  2. Step 2: Convert to fraction form
    304,060/703,824 = 703,824/x
  3. Step 3: Cross multiply
    304,060x = 703,824 × 703,824
  4. Step 4: Simplify right side
    304,060x = 495,368,222,976
  5. Step 5: Solve for x
    x = 495,368,222,976/304,060
  6. Step 6: Final answer
    x = 1,629,179.18

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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.