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Finding the Third Proportional to 308,853 and 481,315.50

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Solution

The third proportional to 308,853 and 481,315.50 is: 750,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,853 : 481,315.50 = 481,315.50 : x
  2. Step 2: Convert to fraction form
    308,853/481,315.50 = 481,315.50/x
  3. Step 3: Cross multiply
    308,853x = 481,315.50 × 481,315.50
  4. Step 4: Simplify right side
    308,853x = 231,664,610,540.25
  5. Step 5: Solve for x
    x = 231,664,610,540.25/308,853
  6. Step 6: Final answer
    x = 750,080.49

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.