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Finding the Third Proportional to 305,239.50 and 663,012

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Solution

The third proportional to 305,239.50 and 663,012 is: 1,440,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,239.50 : 663,012 = 663,012 : x
  2. Step 2: Convert to fraction form
    305,239.50/663,012 = 663,012/x
  3. Step 3: Cross multiply
    305,239.50x = 663,012 × 663,012
  4. Step 4: Simplify right side
    305,239.50x = 439,584,912,144
  5. Step 5: Solve for x
    x = 439,584,912,144/305,239.50
  6. Step 6: Final answer
    x = 1,440,131.15

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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.