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Finding the Third Proportional to 401,092.75 and 601,725.25

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Solution

The third proportional to 401,092.75 and 601,725.25 is: 902,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,092.75 : 601,725.25 = 601,725.25 : x
  2. Step 2: Convert to fraction form
    401,092.75/601,725.25 = 601,725.25/x
  3. Step 3: Cross multiply
    401,092.75x = 601,725.25 × 601,725.25
  4. Step 4: Simplify right side
    401,092.75x = 362,073,276,487.56
  5. Step 5: Solve for x
    x = 362,073,276,487.56/401,092.75
  6. Step 6: Final answer
    x = 902,717.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.