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Finding the Third Proportional to 227,520 and 350,770.50

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Solution

The third proportional to 227,520 and 350,770.50 is: 540,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,520 : 350,770.50 = 350,770.50 : x
  2. Step 2: Convert to fraction form
    227,520/350,770.50 = 350,770.50/x
  3. Step 3: Cross multiply
    227,520x = 350,770.50 × 350,770.50
  4. Step 4: Simplify right side
    227,520x = 123,039,943,670.25
  5. Step 5: Solve for x
    x = 123,039,943,670.25/227,520
  6. Step 6: Final answer
    x = 540,787.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.