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Finding the Third Proportional to 465,567.75 and 997,548.75

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Solution

The third proportional to 465,567.75 and 997,548.75 is: 2,137,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,567.75 : 997,548.75 = 997,548.75 : x
  2. Step 2: Convert to fraction form
    465,567.75/997,548.75 = 997,548.75/x
  3. Step 3: Cross multiply
    465,567.75x = 997,548.75 × 997,548.75
  4. Step 4: Simplify right side
    465,567.75x = 995,103,508,626.56
  5. Step 5: Solve for x
    x = 995,103,508,626.56/465,567.75
  6. Step 6: Final answer
    x = 2,137,397.85

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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.