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Finding the Third Proportional to 457,224.75 and 995,907.38

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Solution

The third proportional to 457,224.75 and 995,907.38 is: 2,169,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,224.75 : 995,907.38 = 995,907.38 : x
  2. Step 2: Convert to fraction form
    457,224.75/995,907.38 = 995,907.38/x
  3. Step 3: Cross multiply
    457,224.75x = 995,907.38 × 995,907.38
  4. Step 4: Simplify right side
    457,224.75x = 991,831,499,579.39
  5. Step 5: Solve for x
    x = 991,831,499,579.39/457,224.75
  6. Step 6: Final answer
    x = 2,169,242.81

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