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Finding the Third Proportional to 465,775.88 and 997,951.50

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Solution

The third proportional to 465,775.88 and 997,951.50 is: 2,138,168.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,775.88 : 997,951.50 = 997,951.50 : x
  2. Step 2: Convert to fraction form
    465,775.88/997,951.50 = 997,951.50/x
  3. Step 3: Cross multiply
    465,775.88x = 997,951.50 × 997,951.50
  4. Step 4: Simplify right side
    465,775.88x = 995,907,196,352.25
  5. Step 5: Solve for x
    x = 995,907,196,352.25/465,775.88
  6. Step 6: Final answer
    x = 2,138,168.27

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Why These Related Problems?

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