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Finding the Third Proportional to 393,707.25 and 843,179.63

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Solution

The third proportional to 393,707.25 and 843,179.63 is: 1,805,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,707.25 : 843,179.63 = 843,179.63 : x
  2. Step 2: Convert to fraction form
    393,707.25/843,179.63 = 843,179.63/x
  3. Step 3: Cross multiply
    393,707.25x = 843,179.63 × 843,179.63
  4. Step 4: Simplify right side
    393,707.25x = 710,951,880,015.14
  5. Step 5: Solve for x
    x = 710,951,880,015.14/393,707.25
  6. Step 6: Final answer
    x = 1,805,788.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.