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Finding the Third Proportional to 296,352.56 and 423,481.36

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Solution

The third proportional to 296,352.56 and 423,481.36 is: 605,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352.56 : 423,481.36 = 423,481.36 : x
  2. Step 2: Convert to fraction form
    296,352.56/423,481.36 = 423,481.36/x
  3. Step 3: Cross multiply
    296,352.56x = 423,481.36 × 423,481.36
  4. Step 4: Simplify right side
    296,352.56x = 179,336,461,738.10
  5. Step 5: Solve for x
    x = 179,336,461,738.10/296,352.56
  6. Step 6: Final answer
    x = 605,145.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.