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Finding the Third Proportional to 258,912 and 397,390.50

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Solution

The third proportional to 258,912 and 397,390.50 is: 609,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,912 : 397,390.50 = 397,390.50 : x
  2. Step 2: Convert to fraction form
    258,912/397,390.50 = 397,390.50/x
  3. Step 3: Cross multiply
    258,912x = 397,390.50 × 397,390.50
  4. Step 4: Simplify right side
    258,912x = 157,919,209,490.25
  5. Step 5: Solve for x
    x = 157,919,209,490.25/258,912
  6. Step 6: Final answer
    x = 609,933.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.