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Finding the Third Proportional to 414,215.25 and 893,615.25

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Solution

The third proportional to 414,215.25 and 893,615.25 is: 1,927,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,215.25 : 893,615.25 = 893,615.25 : x
  2. Step 2: Convert to fraction form
    414,215.25/893,615.25 = 893,615.25/x
  3. Step 3: Cross multiply
    414,215.25x = 893,615.25 × 893,615.25
  4. Step 4: Simplify right side
    414,215.25x = 798,548,215,032.56
  5. Step 5: Solve for x
    x = 798,548,215,032.56/414,215.25
  6. Step 6: Final answer
    x = 1,927,858.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.