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Finding the Third Proportional to 597,350.25 and 914,204.25

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Solution

The third proportional to 597,350.25 and 914,204.25 is: 1,399,127.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,350.25 : 914,204.25 = 914,204.25 : x
  2. Step 2: Convert to fraction form
    597,350.25/914,204.25 = 914,204.25/x
  3. Step 3: Cross multiply
    597,350.25x = 914,204.25 × 914,204.25
  4. Step 4: Simplify right side
    597,350.25x = 835,769,410,718.06
  5. Step 5: Solve for x
    x = 835,769,410,718.06/597,350.25
  6. Step 6: Final answer
    x = 1,399,127.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.