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Finding the Third Proportional to 431,906.63 and 942,423.75

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Solution

The third proportional to 431,906.63 and 942,423.75 is: 2,056,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,906.63 : 942,423.75 = 942,423.75 : x
  2. Step 2: Convert to fraction form
    431,906.63/942,423.75 = 942,423.75/x
  3. Step 3: Cross multiply
    431,906.63x = 942,423.75 × 942,423.75
  4. Step 4: Simplify right side
    431,906.63x = 888,162,524,564.06
  5. Step 5: Solve for x
    x = 888,162,524,564.06/431,906.63
  6. Step 6: Final answer
    x = 2,056,376.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.