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Finding the Third Proportional to 407,265.75 and 610,112.25

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Solution

The third proportional to 407,265.75 and 610,112.25 is: 913,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,265.75 : 610,112.25 = 610,112.25 : x
  2. Step 2: Convert to fraction form
    407,265.75/610,112.25 = 610,112.25/x
  3. Step 3: Cross multiply
    407,265.75x = 610,112.25 × 610,112.25
  4. Step 4: Simplify right side
    407,265.75x = 372,236,957,600.06
  5. Step 5: Solve for x
    x = 372,236,957,600.06/407,265.75
  6. Step 6: Final answer
    x = 913,990.33

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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.