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Finding the Third Proportional to 465,775.75 and 997,951.25

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Solution

The third proportional to 465,775.75 and 997,951.25 is: 2,138,167.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,775.75 : 997,951.25 = 997,951.25 : x
  2. Step 2: Convert to fraction form
    465,775.75/997,951.25 = 997,951.25/x
  3. Step 3: Cross multiply
    465,775.75x = 997,951.25 × 997,951.25
  4. Step 4: Simplify right side
    465,775.75x = 995,906,697,376.56
  5. Step 5: Solve for x
    x = 995,906,697,376.56/465,775.75
  6. Step 6: Final answer
    x = 2,138,167.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.