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Finding the Third Proportional to 415,259.50 and 548,667

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Solution

The third proportional to 415,259.50 and 548,667 is: 724,933.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,259.50 : 548,667 = 548,667 : x
  2. Step 2: Convert to fraction form
    415,259.50/548,667 = 548,667/x
  3. Step 3: Cross multiply
    415,259.50x = 548,667 × 548,667
  4. Step 4: Simplify right side
    415,259.50x = 301,035,476,889
  5. Step 5: Solve for x
    x = 301,035,476,889/415,259.50
  6. Step 6: Final answer
    x = 724,933.39

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.