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Finding the Third Proportional to 457,054.50 and 990,378

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Solution

The third proportional to 457,054.50 and 990,378 is: 2,146,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,054.50 : 990,378 = 990,378 : x
  2. Step 2: Convert to fraction form
    457,054.50/990,378 = 990,378/x
  3. Step 3: Cross multiply
    457,054.50x = 990,378 × 990,378
  4. Step 4: Simplify right side
    457,054.50x = 980,848,582,884
  5. Step 5: Solve for x
    x = 980,848,582,884/457,054.50
  6. Step 6: Final answer
    x = 2,146,021.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.