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Finding the Third Proportional to 457,242.75 and 995,944.50

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Solution

The third proportional to 457,242.75 and 995,944.50 is: 2,169,319.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,242.75 : 995,944.50 = 995,944.50 : x
  2. Step 2: Convert to fraction form
    457,242.75/995,944.50 = 995,944.50/x
  3. Step 3: Cross multiply
    457,242.75x = 995,944.50 × 995,944.50
  4. Step 4: Simplify right side
    457,242.75x = 991,905,447,080.25
  5. Step 5: Solve for x
    x = 991,905,447,080.25/457,242.75
  6. Step 6: Final answer
    x = 2,169,319.14

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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.