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Finding the Third Proportional to 431,993.25 and 942,597

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Solution

The third proportional to 431,993.25 and 942,597 is: 2,056,719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,993.25 : 942,597 = 942,597 : x
  2. Step 2: Convert to fraction form
    431,993.25/942,597 = 942,597/x
  3. Step 3: Cross multiply
    431,993.25x = 942,597 × 942,597
  4. Step 4: Simplify right side
    431,993.25x = 888,489,104,409
  5. Step 5: Solve for x
    x = 888,489,104,409/431,993.25
  6. Step 6: Final answer
    x = 2,056,719.88

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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.