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Finding the Third Proportional to 397,702.50 and 864,567

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Solution

The third proportional to 397,702.50 and 864,567 is: 1,879,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,702.50 : 864,567 = 864,567 : x
  2. Step 2: Convert to fraction form
    397,702.50/864,567 = 864,567/x
  3. Step 3: Cross multiply
    397,702.50x = 864,567 × 864,567
  4. Step 4: Simplify right side
    397,702.50x = 747,476,097,489
  5. Step 5: Solve for x
    x = 747,476,097,489/397,702.50
  6. Step 6: Final answer
    x = 1,879,485.54

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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.