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Finding the Third Proportional to 304,839 and 434,839.50

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Solution

The third proportional to 304,839 and 434,839.50 is: 620,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,839 : 434,839.50 = 434,839.50 : x
  2. Step 2: Convert to fraction form
    304,839/434,839.50 = 434,839.50/x
  3. Step 3: Cross multiply
    304,839x = 434,839.50 × 434,839.50
  4. Step 4: Simplify right side
    304,839x = 189,085,390,760.25
  5. Step 5: Solve for x
    x = 189,085,390,760.25/304,839
  6. Step 6: Final answer
    x = 620,279.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.