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Finding the Third Proportional to 407,166.75 and 825,410.25

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Solution

The third proportional to 407,166.75 and 825,410.25 is: 1,673,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,166.75 : 825,410.25 = 825,410.25 : x
  2. Step 2: Convert to fraction form
    407,166.75/825,410.25 = 825,410.25/x
  3. Step 3: Cross multiply
    407,166.75x = 825,410.25 × 825,410.25
  4. Step 4: Simplify right side
    407,166.75x = 681,302,080,805.06
  5. Step 5: Solve for x
    x = 681,302,080,805.06/407,166.75
  6. Step 6: Final answer
    x = 1,673,275.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.