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Finding the Third Proportional to 852,383.25 and 1,323,398.25

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Solution

The third proportional to 852,383.25 and 1,323,398.25 is: 2,054,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,383.25 : 1,323,398.25 = 1,323,398.25 : x
  2. Step 2: Convert to fraction form
    852,383.25/1,323,398.25 = 1,323,398.25/x
  3. Step 3: Cross multiply
    852,383.25x = 1,323,398.25 × 1,323,398.25
  4. Step 4: Simplify right side
    852,383.25x = 1,751,382,928,103.06
  5. Step 5: Solve for x
    x = 1,751,382,928,103.06/852,383.25
  6. Step 6: Final answer
    x = 2,054,689.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.