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Finding the Third Proportional to 270,327 and 389,392.50

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Solution

The third proportional to 270,327 and 389,392.50 is: 560,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,327 : 389,392.50 = 389,392.50 : x
  2. Step 2: Convert to fraction form
    270,327/389,392.50 = 389,392.50/x
  3. Step 3: Cross multiply
    270,327x = 389,392.50 × 389,392.50
  4. Step 4: Simplify right side
    270,327x = 151,626,519,056.25
  5. Step 5: Solve for x
    x = 151,626,519,056.25/270,327
  6. Step 6: Final answer
    x = 560,900.39

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.