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Finding the Third Proportional to 465,167 and 997,639.50

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Solution

The third proportional to 465,167 and 997,639.50 is: 2,139,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,167 : 997,639.50 = 997,639.50 : x
  2. Step 2: Convert to fraction form
    465,167/997,639.50 = 997,639.50/x
  3. Step 3: Cross multiply
    465,167x = 997,639.50 × 997,639.50
  4. Step 4: Simplify right side
    465,167x = 995,284,571,960.25
  5. Step 5: Solve for x
    x = 995,284,571,960.25/465,167
  6. Step 6: Final answer
    x = 2,139,628.50

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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.