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Finding the Third Proportional to 319,281.75 and 494,412.75

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Solution

The third proportional to 319,281.75 and 494,412.75 is: 765,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,281.75 : 494,412.75 = 494,412.75 : x
  2. Step 2: Convert to fraction form
    319,281.75/494,412.75 = 494,412.75/x
  3. Step 3: Cross multiply
    319,281.75x = 494,412.75 × 494,412.75
  4. Step 4: Simplify right side
    319,281.75x = 244,443,967,362.56
  5. Step 5: Solve for x
    x = 244,443,967,362.56/319,281.75
  6. Step 6: Final answer
    x = 765,605.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.