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Finding the Third Proportional to 641,779 and 997,768.50

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Solution

The third proportional to 641,779 and 997,768.50 is: 1,551,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,779 : 997,768.50 = 997,768.50 : x
  2. Step 2: Convert to fraction form
    641,779/997,768.50 = 997,768.50/x
  3. Step 3: Cross multiply
    641,779x = 997,768.50 × 997,768.50
  4. Step 4: Simplify right side
    641,779x = 995,541,979,592.25
  5. Step 5: Solve for x
    x = 995,541,979,592.25/641,779
  6. Step 6: Final answer
    x = 1,551,222.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.