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Finding the Third Proportional to 397,737 and 864,634.50

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Solution

The third proportional to 397,737 and 864,634.50 is: 1,879,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,737 : 864,634.50 = 864,634.50 : x
  2. Step 2: Convert to fraction form
    397,737/864,634.50 = 864,634.50/x
  3. Step 3: Cross multiply
    397,737x = 864,634.50 × 864,634.50
  4. Step 4: Simplify right side
    397,737x = 747,592,818,590.25
  5. Step 5: Solve for x
    x = 747,592,818,590.25/397,737
  6. Step 6: Final answer
    x = 1,879,615.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.