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Finding the Third Proportional to 254,374.50 and 404,912

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Solution

The third proportional to 254,374.50 and 404,912 is: 644,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,374.50 : 404,912 = 404,912 : x
  2. Step 2: Convert to fraction form
    254,374.50/404,912 = 404,912/x
  3. Step 3: Cross multiply
    254,374.50x = 404,912 × 404,912
  4. Step 4: Simplify right side
    254,374.50x = 163,953,727,744
  5. Step 5: Solve for x
    x = 163,953,727,744/254,374.50
  6. Step 6: Final answer
    x = 644,536.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.